|
00-XX |
总论 |
General |
||
|
00-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
00-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
00Axx |
一般的和各种特殊的课题 |
General and miscellaneous specific topics |
||
|
00A05 |
普通数学 |
General mathematics |
||
|
00A06 |
非数学家的数学(工程、社会科学等) |
Mathematics for nonmathematicians (engineering, social sciences, etc.) |
||
|
00A07 |
问题集 |
Problem books |
||
|
00A08 |
趣味数学[参见97A20] |
Recreational mathematics [See also 97A20] |
||
|
00A09 |
数学普及 |
Popularization of mathematics |
||
|
00A15 |
书目 |
Bibliographies |
||
|
00A17 |
外国书评 |
External book reviews |
||
|
00A20 |
辞典和其它一般参考书 |
Dictionaries and other general reference works |
||
|
00A22 |
公式集 |
Formularies |
||
|
00A30 |
数学哲学[参见03A05] |
Philosophy of mathematics [See also 03A05] |
||
|
00A35 |
数学方法论, 教学法[参见97Cxx, 97Dxx] |
Methodology of mathematics, didactics [See also 97Cxx, 97Dxx] |
||
|
00A65 |
数学和音乐 |
Mathematics and music |
||
|
00A66 |
数学和视觉艺术, 可视化 |
Mathematics and visual arts, visualization |
||
|
00A67 |
数学和建筑学 |
Mathematics and architecture |
||
|
00A69 |
一般应用数学(物理, 见00A79和70-XX到86-XX部分) |
General applied mathematics (For physics, see 00A79 and Sections 70 through 86) |
||
|
00A71 |
数学建模理论 |
Theory of mathematical modeling |
||
|
00A72 |
一般模拟方法 |
General methods of simulation |
||
|
00A73 |
维数分析 |
Dimensional analysis |
||
|
00A79 |
物理学(尽可能使用从70-XX到86-XX更明确的分类) |
Physics (use more specific entries from Sections 70 through 86 when possible) |
||
|
00A99 |
其它 |
Miscellaneous topics |
||
|
00Bxx |
会议录与论文集 |
Conference proceedings and collections of papers |
||
|
00B05 |
演讲摘要集 |
Collections of abstracts of lectures |
||
|
00B10 |
一般论文集 |
Collections of articles of general interest |
||
|
00B15 |
专题论文集 |
Collections of articles of miscellaneous specific content |
||
|
00B20 |
一般会议录 |
Proceedings of conferences of general interest |
||
|
00B25 |
专题会议录 |
Proceedings of conferences of miscellaneous specific interest |
||
|
00B30 |
纪念文集 |
Festschriften |
||
|
00B50 |
精选译文集 |
Volumes of selected translations |
||
|
00B55 |
其它译文合订本 |
Miscellaneous volumes of translations |
||
|
00B60 |
再版文集[参见01A75] |
Collections of reprinted articles [See also 01A75] |
||
|
00B99 |
其它 |
None of the above, but in this section |
||
|
01-XX |
历史与传记[参见其它一级类目中的分类号-03部分] |
History and biography [See also the classification number -03 in the other sections] |
||
|
01-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
01-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
01-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
01-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
01-08 |
计算方法 |
Computational methods |
||
|
01Axx |
数学史和数学家 |
History of mathematics and mathematicians |
||
|
01A05 |
一般历史, 原始资料集 |
General histories, source books |
||
|
01A07 |
民族数学, 一般问题 |
Ethnomathematics, general |
||
|
01A10 |
旧石器时代, 新石器时代 |
Paleolithic, Neolithic |
||
|
01A12 |
美洲土著文化 |
Indigenous cultures of the Americas |
||
|
01A13 |
其它土著文化(非欧洲) |
Other indigenous cultures (non-European) |
||
|
01A15 |
欧洲土著文化(前希腊时期等) |
Indigenous European cultures (pre-Greek, etc.) |
||
|
01A16 |
埃及 |
Egyptian |
||
|
01A17 |
巴比伦 |
Babylonian |
||
|
01A20 |
希腊, 罗马 |
Greek, Roman |
||
|
01A25 |
中国 |
China |
||
|
01A27 |
日本 |
Japan |
||
|
01A29 |
东南亚 |
Southeast Asia |
||
|
01A30 |
伊斯兰(中世纪) |
Islam (Medieval) |
||
|
01A32 |
印度 |
India |
||
|
01A35 |
中世纪 |
Medieval |
||
|
01A40 |
15, 16世纪, 文艺复兴时期 |
15th and 16th centuries, Renaissance |
||
|
01A45 |
17世纪 |
17th century |
||
|
01A50 |
18世纪 |
18th century |
||
|
01A55 |
19世纪 |
19th century |
||
|
01A60 |
20世纪 |
20th century |
||
|
01A61 |
21世纪 |
Twenty-first century |
||
|
01A65 |
当代的 |
Contemporary |
||
|
01A67 |
未来展望 |
Future prospectives |
||
|
01A70 |
传记, 讣告, 轶事, 书目 |
Biographies, obituaries, personalia, bibliographies |
||
|
01A72 |
数学学派 |
Schools of mathematics |
||
|
01A73 |
大学 |
Universities |
||
|
01A74 |
其它研究所和大专院校 |
Other institutions and academies |
||
|
01A75 |
文集或选集; 经典著作的再版或翻译[参见00B60] |
Collected or selected works; reprintings or translations of classics [See also 00B60] |
||
|
01A80 |
数学社会学(和职业) |
Sociology (and profession) of mathematics |
||
|
01A85 |
历史书目 |
Historiography |
||
|
01A90 |
书目研究 |
Bibliographic studies |
||
|
01A99 |
其它 |
Miscellaneous topics |
||
|
03-XX |
数理逻辑与基础 |
Mathematical logic and foundations |
||
|
03-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
03-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
03-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
03-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
03-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
03-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
03Axx |
逻辑和基础的哲学方面 |
Philosophical aspects of logic and foundations |
||
|
03A05 |
哲学与评论(数学哲学, 参见00A30) |
Philosophical and critical (For philosophy of mathematics, see also 00A30) |
||
|
03A10 |
科学哲学中的逻辑 |
Logic in the philosophy of science |
||
|
03A99 |
其它 |
None of the above, but in this section |
||
|
03Bxx |
一般逻辑 |
General logic |
||
|
03B05 |
经典命题逻辑 |
Classical propositional logic |
||
|
03B10 |
经典一阶逻辑 |
Classical first-order logic |
||
|
03B15 |
高阶逻辑和类型论 |
Higher-order logic and type theory |
||
|
03B20 |
经典逻辑子系统(包括直觉主义逻辑) |
Subsystems of classical logic (including intuitionistic logic) |
||
|
03B22 |
抽象演绎系统 |
Abstract deductive systems |
||
|
03B25 |
理论的可判定性和命题集[参见11U05, 12L05, 20F10] |
Decidability of theories and sets of sentences [See also 11U05, 12L05, 20F10] |
||
|
03B30 |
经典理论的基础(包括反演数学)[参见03F35] |
Foundations of classical theories (including reverse mathematics) [See also 03F35] |
||
|
03B35 |
证明和逻辑运算的机械化[参见68T15] |
Mechanization of proofs and logical operations [See also 68T15] |
||
|
03B40 |
组合逻辑和λ-演算[参见68N18] |
Combinatory logic and lambda-calculus [See also 68N18] |
||
|
03B42 |
知识和信仰的逻辑(包括信仰改变) |
Logic of knowledge and belief (including belief change) |
||
|
03B44 |
瞬时逻辑 |
Temporal logic |
||
|
03B45 |
模态逻辑(包括标准逻辑)(知识和信仰逻辑, 见03B42; 瞬时逻辑, 见03B44; 可证明性逻辑, 参见03F45) |
Modal logic (including the logic of norms) (For knowledge and belief, see 03B42; for temporal logic, see 03B44; for provability logic, see also 03F45) |
||
|
03B47 |
子结构逻辑(包括相关, 蕴涵, 线性逻辑, Lambek演算, BCK和BCI逻辑)(证明论方面, 见03F52) |
Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics) (For proof-theoretic aspects, see 03F52) |
||
|
03B48 |
概率和归纳逻辑[参见60A05] |
Probability and inductive logic [See also 60A05] |
||
|
03B50 |
多值逻辑 |
Many-valued logic |
||
|
03B52 |
Fuzzy逻辑; 模糊逻辑[参见68T27, 68T37, 94D05] |
Fuzzy logic; logic of vagueness [See also 68T27, 68T37, 94D05] |
||
|
03B53 |
仿相容逻辑 |
paraconsistent logics |
||
|
03B55 |
中介逻辑 |
Intermediate logics |
||
|
03B60 |
其它非经典逻辑 |
Other nonclassical logic |
||
|
03B62 |
组合逻辑 |
Combined logics |
||
|
03B65 |
自然语言逻辑[参见68T50, 91F20] |
Logic of natural languages [See also 68T50, 91F20] |
||
|
03B70 |
计算机科学中的逻辑[参见68-XX] |
Logic in computer science [See also 68-XX] |
||
|
03B80 |
逻辑的其它应用 |
Other applications of logic |
||
|
03B99 |
其它 |
None of the above, but in this section |
||
|
03Cxx |
模型论 |
Model theory |
||
|
03C05 |
等式类, 泛代数[参见08Axx, 08Bxx, 18C05] |
Equational classes, universal algebra [See also 08Axx, 08Bxx, 18C05] |
||
|
03C07 |
一阶语言和结构的基本性质 |
Basic properties of first-order languages and structures |
||
|
03C10 |
量词消去, 模型完备性和有关课题 |
Quantifier elimination, model completeness and related topics |
||
|
03C13 |
有限结构[参见68Q15, 68Q19] |
Finite structures [See also 68Q15, 68Q19] |
||
|
03C15 |
可数结构 |
Denumerable structures |
||
|
03C20 |
超积及有关构造 |
Ultraproducts and related constructions |
||
|
03C25 |
模型论力迫 |
Model-theoretic forcing |
||
|
03C30 |
其它模型构造 |
Other model constructions |
||
|
03C35 |
理论的范畴性和完备性 |
Categoricity and completeness of theories |
||
|
03C40 |
插值, 保存, 可定义性 |
Interpolation, preservation, definability |
||
|
03C45 |
分类理论, 稳定性和有关概念[参见03C48] |
Classification theory, stability and related concepts [See also 03C48] |
||
|
03C48 |
抽象元素类及有关课题[参见03C45] |
Abstract elementary classes and related topics [See also 03C45] |
||
|
03C50 |
具有特殊性质的(饱和的、刚性的等)模型 |
Models with special properties (saturated, rigid, etc.) |
||
|
03C52 |
模型类的性质 |
Properties of classes of models |
||
|
03C55 |
集合论模型论 |
Set-theoretic model theory |
||
|
03C57 |
有效和递归论模型论[参见03D45] |
Effective and recursion-theoretic model theory [See also 03D45] |
||
|
03C60 |
模型论代数[参见08C10, 12Lxx, 13L05] |
Model-theoretic algebra [See also 08C10, 12Lxx, 13L05] |
||
|
03C62 |
算术模型与集合论模型[参见03Hxx] |
Models of arithmetic and set theory [See also 03Hxx] |
||
|
03C64 |
有序结构的模型论; o-极小性 |
Model theory of ordered structures; o-minimality |
||
|
03C65 |
其它数学理论模型 |
Models of other mathematical theories |
||
|
03C68 |
其它经典一阶模型论 |
Other classical first-order model theory |
||
|
03C70 |
容许集上的逻辑 |
Logic on admissible sets |
||
|
03C75 |
其它无穷逻辑 |
Other infinitary logic |
||
|
03C80 |
有附加量词和算子的逻辑[参见03B42, 03B44, 03B45, 03B48] |
Logic with extra quantifiers and operators [See also 03B42, 03B44, 03B45, 03B48] |
||
|
03C85 |
二阶和高阶模型论 |
Second- and higher-order model theory |
||
|
03C90 |
非经典模型(Boole值、层等) |
Nonclassical models (Boolean-valued, sheaf, etc.) |
||
|
03C95 |
抽象模型论 |
Abstract model theory |
||
|
03C98 |
模型论的应用[参见03C60] |
Applications of model theory [See also 03C60] |
||
|
03C99 |
其它 |
None of the above, but in this section |
||
|
03Dxx |
可计算性和递归论 |
Computability and recursion theory |
||
|
03D03 |
Thue系统和Post系统等 |
Thue and Post systems, etc. |
||
|
03D05 |
与逻辑问题有关的自动机和形式语法[参见68Q45, 68Q70, 68R15] |
Automata and formal grammars in connection with logical questions [See also 68Q45, 68Q70, 68R15] |
||
|
03D10 |
Turing机和有关概念[参见68Q05] |
Turing machines and related notions [See also 68Q05] |
||
|
03D15 |
计算的复杂性(包括隐式计算复杂性)[参见68Q15, 68Q17] |
Complexity of computation (including implicit computational complexity) [See also 68Q15, 68Q17] |
||
|
03D20 |
递归函数和关系, 次递归层级 |
Recursive functions and relations, subrecursive hierarchies |
||
|
03D25 |
递归(可计算)可数集和度 |
Recursively (computably) enumerable sets and degrees |
||
|
03D28 |
其它Turing度结构 |
Other Turing degree structures |
||
|
03D30 |
其它度和可约性 |
Other degrees and reducibilities |
||
|
03D32 |
算法随机性和维数[参见68Q30] |
Algorithmic randomness and dimension [See also 68Q30] |
||
|
03D35 |
命题集的不可判定性和度 |
Undecidability and degrees of sets of sentences |
||
|
03D40 |
字问题等[参见06B25, 08A50, 20F10, 68R15] |
Word problems, etc. [See also 06B25, 08A50, 20F10, 68R15] |
||
|
03D45 |
记数法理论, 有效表述结构[参见03C57; 直觉主义及其相似的方法, 见03F55] |
Theory of numerations, effectively presented structures [See also 03C57; for intuitionistic and similar approaches see 03F55] |
||
|
03D50 |
集合和结构的递归等价类型, 孤点元 |
Recursive equivalence types of sets and structures, isols |
||
|
03D55 |
谱系 |
Hierarchies |
||
|
03D60 |
次序、容许集等的可计算性和递归论 |
Computability and recursion theory on ordinals, admissible sets, etc. |
||
|
03D65 |
高阶递归和集递归理论 |
Higher-type and set recursion theory |
||
|
03D70 |
归纳可定义性 |
Inductive definability |
||
|
03D75 |
抽象公理化可计算性和递归理论 |
Abstract and axiomatic computability and recursion theory |
||
|
03D78 |
实数计算(构造性方面, 见03F60) |
Computation over the reals (For constructive aspects, see 03F60) |
||
|
03D80 |
可计算性和递归论的应用 |
Applications of computability and recursion theory |
||
|
03D99 |
其它 |
None of the above, but in this section |
||
|
03Exx |
集合论 |
Set theory |
||
|
03E02 |
分拆关系 |
Partition relations |
||
|
03E04 |
有序集及其共尾性; pcf理论 |
Ordered sets and their cofinalities; pcf theory |
||
|
03E05 |
其它组合集合论 |
Other combinatorial set theory |
||
|
03E10 |
序数和基数 |
Ordinal and cardinal numbers |
||
|
03E15 |
描述集合论[参见28A05, 54H05] |
Descriptive set theory [See also 28A05, 54H05] |
||
|
03E17 |
连续统的基数特征 |
Cardinal characteristics of the continuum |
||
|
03E20 |
其它经典集合论(包括函数, 关系和集代数) |
Other classical set theory (including functions, relations, and set algebra) |
||
|
03E25 |
选择公理和有关命题 |
Axiom of choice and related propositions |
||
|
03E30 |
经典集合论的公理体系及其若干方面 |
Axiomatics of classical set theory and its fragments |
||
|
03E35 |
相容性和独立性的结果 |
Consistency and independence results |
||
|
03E40 |
力迫和Boole值模型的其它方面 |
Other aspects of forcing and Boolean-valued models |
||
|
03E45 |
内模型, 包括可构造性, 序数可定义性和核心模型 |
Inner models, including constructibility, ordinal definability, and core models |
||
|
03E47 |
集合论可定义性的其它概念 |
Other notions of set-theoretic definability |
||
|
03E50 |
连续统假设和Martin公理[参见03E57] |
Continuum hypothesis and Martin’s axiom [See also 03E57] |
||
|
03E55 |
大基数 |
Large cardinals |
||
|
03E57 |
一般绝对性和力迫公理[参见03E50] |
Generic absoluteness and forcing axioms [See also 03E50] |
||
|
03E60 |
确定性原理 |
Determinacy principles |
||
|
03E65 |
其它假设和公理 |
Other hypotheses and axioms |
||
|
03E70 |
非经典集合论和二阶集合论 |
Nonclassical and second-order set theories |
||
|
03E72 |
模糊集论 |
Fuzzy set theory |
||
|
03E75 |
集合论的应用 |
Applications of set theory |
||
|
03E99 |
其它 |
None of the above, but in this section |
||
|
03Fxx |
证明论和构造性数学 |
Proof theory and constructive mathematics |
||
|
03F03 |
证明论, 一般问题 |
Proof theory, general |
||
|
03F05 |
切割-消去法和范式定理 |
Cut-elimination and normal-form theorems |
||
|
03F07 |
证明的结构 |
Structure of proofs |
||
|
03F10 |
证明论中的泛函 |
Functionals in proof theory |
||
|
03F15 |
递归序数和序数记号 |
Recursive ordinals and ordinal notations |
||
|
03F20 |
证明的复杂性 |
Complexity of proofs |
||
|
03F25 |
有关相容性和解释 |
Relative consistency and interpretations |
||
|
03F30 |
一阶算术及若干方面 |
First-order arithmetic and fragments |
||
|
03F35 |
二阶和高阶算术及若干方面[参见03B30] |
Second- and higher-order arithmetic and fragments [See also 03B30] |
||
|
03F40 |
Gödel编号及不完全性问题 |
Gödel numberings and issues of incompleteness |
||
|
03F45 |
可证明逻辑和相关代数(例如: 可对角化代数)[参见03B45, 03G25, 06E25] |
Provability logics and related algebras (e.g., diagonalizable algebras) [See also 03B45, 03G25, 06E25] |
||
|
03F50 |
构造系统元数学 |
Metamathematics of constructive systems |
||
|
03F52 |
线性逻辑及其它子结构逻辑[参见03B47] |
Linear logic and other substructural logics [See also 03B47] |
||
|
03F55 |
直觉主义数学 |
Intuitionistic mathematics |
||
|
03F60 |
构造性和递归分析[参见03B30, 03D45, 03D78, 26E40, 46S30, 47S30] |
Constructive and recursive analysis [See also 03B30, 03D45, 03D78, 26E40, 46S30, 47S30] |
||
|
03F65 |
其它构造性数学[参见03D45] |
Other constructive mathematics [See also 03D45] |
||
|
03F99 |
其它 |
None of the above, but in this section |
||
|
03Gxx |
代数逻辑 |
Algebraic logic |
||
|
03G05 |
Boole代数[参见06Exx] |
Boolean algebras [See also 06Exx] |
||
|
03G10 |
格和有关结构[参见06Bxx] |
Lattices and related structures [See also 06Bxx] |
||
|
03G12 |
量子逻辑[参见06C15, 81P10] |
Quantum logic [See also 06C15, 81P10] |
||
|
03G15 |
柱型代数和多圆柱型代数; 关系代数 |
Cylindric and polyadic algebras; relation algebras |
||
|
03G20 |
Łukasiewicz代数和Post代数[参见06D25, 06D30] |
Łukasiewicz and Post algebras [See also 06D25, 06D30] |
||
|
03G25 |
与逻辑有关的其它代数[参见03F45, 06D20, 06E25, 06F35] |
Other algebras related to logic [See also 03F45, 06D20, 06E25, 06F35] |
||
|
03G27 |
抽象代数逻辑 |
Abstract algebraic logic |
||
|
03G30 |
范畴逻辑, 普遍概念[参见18B25, 18C05, 18C10] |
Categorical logic, topoi [See also 18B25, 18C05, 18C10] |
||
|
03G99 |
其它 |
None of the above, but in this section |
||
|
03Hxx |
非标准模型[参见03C62] |
Nonstandard models [See also 03C62] |
||
|
03H05 |
数学中的非标准模型[参见26E35, 28E05, 30G06, 46S20, 47S20, 54J05] |
Nonstandard models in mathematics [See also 26E35, 28E05, 30G06, 46S20, 47S20, 54J05] |
||
|
03H10 |
非标准模型的其它应用(经济学、物理学等) |
Other applications of nonstandard models (economics, physics, etc.) |
||
|
03H15 |
算术的非标准模型[参见11U10, 12L15, 13L05] |
Nonstandard models of arithmetic [See also 11U10, 12L15, 13L05] |
||
|
03H99 |
其它 |
None of the above, but in this section |
||
|
05-XX |
组合学(有限域, 见11Txx) |
Combinatorics (For finite fields, see 11Txx) |
||
|
05-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
05-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
05-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
05-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
05-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
05-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
05Axx |
枚举组合学(图论中的枚举, 见05C30) |
Enumerative combinatorics (For enumeration in graph theory, see 05C30) |
||
|
05A05 |
排列, 字, 矩阵 |
Permutations, words, matrices |
||
|
05A10 |
阶乘, 二项式系数, 组合函数[参见11B65, 33Cxx] |
Factorials, binomial coefficients, combinatorial functions [See also 11B65, 33Cxx] |
||
|
05A15 |
精确枚举问题, 生成函数[参见33Cxx, 33Dxx] |
Exact enumeration problems, generating functions [See also 33Cxx, 33Dxx] |
||
|
05A16 |
渐近枚举 |
Asymptotic enumeration |
||
|
05A17 |
整数划分[参见11P81, 11P82, 11P83] |
Partitions of integers [See also 11P81, 11P82, 11P83] |
||
|
05A18 |
集合划分 |
Partitions of sets |
||
|
05A19 |
组合恒等式, 双射组合学 |
Combinatorial identities, bijective combinatorics |
||
|
05A20 |
组合不等式 |
Combinatorial inequalities |
||
|
05A30 |
q-运算与有关课题[参见33Dxx] |
q-calculus and related topics [See also 33Dxx] |
||
|
05A40 |
哑运算 |
Umbral calculus |
||
|
05A99 |
其它 |
None of the above, but in this section |
||
|
05Bxx |
设计与构形(设计理论的应用, 见94C30) |
Designs and configurations (For applications of design theory, see 94C30) |
||
|
05B05 |
区组设计[参见51E05, 62K10] |
Block designs [See also 51E05, 62K10] |
||
|
05B07 |
三元系 |
Triple systems |
||
|
05B10 |
差集(数论、群论等)[参见11B13] |
Difference sets (number-theoretic, group-theoretic, etc.) [See also 11B13] |
||
|
05B15 |
正交阵列, Latin方, Room方 |
Orthogonal arrays, Latin squares, Room squares |
||
|
05B20 |
矩阵(关联阵、Hadamard阵等) |
Matrices (incidence, Hadamard, etc.) |
||
|
05B25 |
有限几何[参见51D20, 51Exx] |
Finite geometries [See also 51D20, 51Exx] |
||
|
05B30 |
其它设计, 构形[参见51E30] |
Other designs, configurations [See also 51E30] |
||
|
05B35 |
拟阵, 几何格[参见52B40, 90C27] |
Matroids, geometric lattices [See also 52B40, 90C27] |
||
|
05B40 |
填装与覆盖[参见11H31, 52C15, 52C17] |
Packing and covering [See also 11H31, 52C15, 52C17] |
||
|
05B45 |
嵌图和贴砖问题[参见52C20, 52C22] |
Tessellation and tiling problems [See also 52C20, 52C22] |
||
|
05B50 |
多米诺骨牌 |
Polyominoes |
||
|
05B99 |
其它 |
None of the above, but in this section |
||
|
05Cxx |
图论(图的应用, 见68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15) |
Graph theory (For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15) |
||
|
05C05 |
树 |
Trees |
||
|
05C07 |
顶点度[参见05E30] |
Vertex degrees [See also 05E30] |
||
|
05C10 |
平面图; 图论的几何及拓扑方面[参见57M15, 57M25] |
Planar graphs; geometric and topological aspects of graph theory [See also 57M15, 57M25] |
||
|
05C12 |
图中距离 |
Distance in graphs |
||
|
05C15 |
图和超图的着色 |
Coloring of graphs and hypergraphs |
||
|
05C17 |
完美图 |
Perfect graphs |
||
|
05C20 |
有向图, 竞赛图 |
Directed graphs (digraphs), tournaments |
||
|
05C21 |
图中流 |
Flows in graphs |
||
|
05C22 |
符号图和加权图 |
Signed and weighted graphs |
||
|
05C25 |
图与抽象代数(群、环、域等)[参见20F65] |
Graphs and abstract algebra (groups, rings, fields, etc.) [See also 20F65] |
||
|
05C30 |
图论中的枚举 |
Enumeration in graph theory |
||
|
05C31 |
图多项式 |
Graph polynomials |
||
|
05C35 |
极图问题[参见90C35] |
Extremal problems [See also 90C35] |
||
|
05C38 |
路和圈[参见90B10] |
Paths and cycles [See also 90B10] |
||
|
05C40 |
连通性 |
Connectivity |
||
|
05C42 |
密度(韧性等) |
Density (toughness, etc.) |
||
|
05C45 |
Euler图和Hamilton图 |
Eulerian and Hamiltonian graphs |
||
|
05C50 |
图和线性代数(矩阵、特征值等) |
Graphs and linear algebra (matrices, eigenvalues, etc.) |
||
|
05C51 |
图设计与同构分解[参见05B30] |
Graph designs and isomorphic decomposition [See also 05B30] |
||
|
05C55 |
广义Ramsey理论[参见 05D10] |
Generalized Ramsey theory [See also 05D10] |
||
|
05C57 |
图上博弈[参见91A43, 91A46] |
Games on graphs [See also 91A43, 91A46] |
||
|
05C60 |
同构问题(重构猜想等)与同态(子图嵌入等) |
Isomorphism problems (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) |
||
|
05C62 |
图表示(几何和相交表示等)(图形制图, 参见68R10) |
Graph representations (geometric and intersection representations, etc.) (For graph drawing, see also 68R10) |
||
|
05C63 |
无限图 |
Infinite graphs |
||
|
05C65 |
超图 |
Hypergraphs |
||
|
05C69 |
控制集, 独立集, 团 |
Dominating sets, independent sets, cliques |
||
|
05C70 |
因子, 匹配, 划分, 覆盖和填装 |
Factorization, matching, partitioning, covering and packing |
||
|
05C72 |
分数图论, 模糊图论 |
Fractional graph theory, fuzzy graph theory |
||
|
05C75 |
各种图族的结构特征 |
Structural characterization of families of graphs |
||
|
05C76 |
图运算(线图、积等) |
Graph operations (line graphs, products, etc.) |
||
|
05C78 |
图标号(优美图、带宽等) |
Graph labelling (graceful graphs, bandwidth, etc.) |
||
|
05C80 |
随机图[参见 60B20] |
Random graphs [See also 60B20] |
||
|
05C81 |
图上随机游动 |
Random walks on graphs |
||
|
05C82 |
小世界图, 复杂网络[参见90Bxx, 91D30] |
Small world graphs, complex networks [See also 90Bxx, 91D30] |
||
|
05C83 |
图子式 |
Graph minors |
||
|
05C85 |
图算法[参见68R10, 68W05] |
Graph algorithms [See also 68R10, 68W05] |
||
|
05C90 |
应用[参见68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15] |
Applications [See also 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15] |
||
|
05C99 |
其它 |
None of the above, but in this section |
||
|
05Dxx |
极值组合学 |
Extremal combinatorics |
||
|
05D05 |
极值集合论 |
Extremal set theory |
||
|
05D10 |
Ramsey理论[参见05C55] |
Ramsey theory [See also 05C55] |
||
|
05D15 |
横截(匹配)理论 |
Transversal (matching) theory |
||
|
05D40 |
概率方法 |
Probabilistic methods |
||
|
05D99 |
其它 |
None of the above, but in this section |
||
|
05Exx |
代数组合学 |
Algebraic combinatorics |
||
|
05E05 |
对称函数和推广 |
Symmetric functions and generalizations |
||
|
05E10 |
表示理论的组合方面[参见20C30] |
Combinatorial aspects of representation theory [See also 20C30] |
||
|
05E15 |
群和代数的组合方面[参见14Nxx, 22E45, 33C80] |
Combinatorial aspects of groups and algebras [See also 14Nxx, 22E45, 33C80] |
||
|
05E18 |
组合结构上的群作用 |
Group actions on combinatorial structures |
||
|
05E30 |
结合概型, 强正则图 |
Association schemes, strongly regular graphs |
||
|
05E40 |
交换代数的组合方面 |
Combinatorial aspects of commutative algebra |
||
|
05E45 |
单纯复形的组合方面 |
Combinatorial aspects of simplicial complexes |
||
|
05E99 |
其它 |
None of the above, but in this section |
||
|
06-XX |
序, 格, 有序的代数结构[参见18B35] |
Order, lattices, ordered algebraic structures [See also 18B35] |
||
|
06-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
06-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
06-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
06-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
06-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
06-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
06Axx |
有序集 |
Ordered sets |
||
|
06A05 |
全序 |
Total order |
||
|
06A06 |
偏序, 一般问题 |
Partial order, general |
||
|
06A07 |
偏序集组合学 |
Combinatorics of partially ordered sets |
||
|
06A11 |
偏序集的代数方面 |
Algebraic aspects of posets |
||
|
06A12 |
半格[参见20M10; 拓扑半格, 见22A26] |
Semilattices [See also 20M10; for topological semilattices see 22A26] |
||
|
06A15 |
Galois对应, 闭包算子 |
Galois correspondences, closure operators |
||
|
06A75 |
有序集的推广 |
Generalizations of ordered sets |
||
|
06A99 |
其它 |
None of the above, but in this section |
||
|
06Bxx |
格[参见03G10] |
Lattices [See also 03G10] |
||
|
06B05 |
结构理论 |
Structure theory |
||
|
06B10 |
理想, 同余关系 |
Ideals, congruence relations |
||
|
06B15 |
表示理论 |
Representation theory |
||
|
06B20 |
格簇 |
Varieties of lattices |
||
|
06B23 |
完备格, 完备化 |
Complete lattices, completions |
||
|
06B25 |
自由格, 射影格, 字问题[参见03D40, 08A50, 20F10] |
Free lattices, projective lattices, word problems [See also 03D40, 08A50, 20F10] |
||
|
06B30 |
拓扑格, 序拓扑[参见06F30, 22A26, 54F05, 54H12] |
Topological lattices, order topologies [See also 06F30, 22A26, 54F05, 54H12] |
||
|
06B35 |
连续格和偏序集, 应用[参见06B30, 06D10, 06F30, 18B35, 22A26, 68Q55] |
Continuous lattices and posets, applications [See also 06B30, 06D10, 06F30, 18B35, 22A26, 68Q55] |
||
|
06B75 |
格的推广 |
Generalizations of lattices |
||
|
06B99 |
其它 |
None of the above, but in this section |
||
|
06Cxx |
模格, 补格 |
Modular lattices, complemented lattices |
||
|
06C05 |
模格, Desargues格 |
Modular lattices, Desarguesian lattices |
||
|
06C10 |
半模格, 几何格 |
Semimodular lattices, geometric lattices |
||
|
06C15 |
补格, 正交补格和偏序集[参见03G12, 81P10] |
Complemented lattices, orthocomplemented lattices and posets [See also 03G12, 81P10] |
||
|
06C20 |
补模格, 连续几何 |
Complemented modular lattices, continuous geometries |
||
|
06C99 |
其它 |
None of the above, but in this section |
||
|
06Dxx |
分配格 |
Distributive lattices |
||
|
06D05 |
结构与表示理论 |
Structure and representation theory |
||
|
06D10 |
完全分配性 |
Complete distributivity |
||
|
06D15 |
伪补格 |
Pseudocomplemented lattices |
||
|
06D20 |
Heyting代数[参见03G25] |
Heyting algebras [See also 03G25] |
||
|
06D22 |
框架, 场所(拓扑问题见54-XX) |
Frames, locales (For topological questions see 54-XX) |
||
|
06D25 |
Post代数[参见03G20] |
Post algebras [See also 03G20] |
||
|
06D30 |
De Morgan代数, Łukasiewicz代数[参见03G20] |
De Morgan algebras, Łukasiewicz algebras [See also 03G20] |
||
|
06D35 |
MV-代数 |
MV-algebras |
||
|
06D50 |
格和对偶性 |
Lattices and duality |
||
|
06D72 |
Fuzzy格(软代数)和相关课题 |
Fuzzy lattices (soft algebras) and related topics |
||
|
06D75 |
分配格的其它推广 |
Other generalizations of distributive lattices |
||
|
06D99 |
其它 |
None of the above, but in this section |
||
|
06Exx |
Boole代数(Boole环)[参见03G05] |
Boolean algebras (Boolean rings) [See also 03G05] |
||
|
06E05 |
结构理论 |
Structure theory |
||
|
06E10 |
链条件, 完备代数 |
Chain conditions, complete algebras |
||
|
06E15 |
Stone空间(Boole空间)和有关构造 |
Stone space (Boolean spaces) and related constructions |
||
|
06E20 |
环理论性质[参见16E50, 16G30] |
Ring-theoretic properties [See also 16E50, 16G30] |
||
|
06E25 |
有加法运算的Boole代数(可对角化代数等)[参见03G25, 03F45] |
Boolean algebras with additional operations (diagonalizable algebras, etc.) [See also 03G25, 03F45] |
||
|
06E30 |
Boole函数[参见94C10] |
Boolean functions [See also 94C10] |
||
|
06E75 |
Boole代数的推广 |
Generalizations of Boolean algebras |
||
|
06E99 |
其它 |
None of the above, but in this section |
||
|
06Fxx |
有序结构 |
Ordered structures |
||
|
06F05 |
有序半群和幺半群[参见20Mxx] |
Ordered semigroups and monoids [See also 20Mxx] |
||
|
06F07 |
局量子 |
Quantales |
||
|
06F10 |
Noether格 |
Noether lattices |
||
|
06F15 |
有序群[参见20F60] |
Ordered groups [See also 20F60] |
||
|
06F20 |
有序Abel群, Riesz群, 有序线性空间[参见46A40] |
Ordered abelian groups, Riesz groups, ordered linear spaces [See also 46A40] |
||
|
06F25 |
有序环, 有序代数, 有序模(有序域, 见12J15; 参见13J25, 16W80) |
Ordered rings, algebras, modules (For ordered fields, see 12J15; see also 13J25, 16W80) |
||
|
06F30 |
拓扑格, 序拓扑[参见06B30, 22A26, 54F05, 54H12] |
Topological lattices, order topologies [See also 06B30, 22A26, 54F05, 54H12] |
||
|
06F35 |
BCK-代数, BCI-代数[参见03G25] |
BCK-algebras, BCI-algebras [See also 03G25] |
||
|
06F99 |
其它 |
None of the above, but in this section |
||
|
08-XX |
一般代数系统 |
General algebraic systems |
||
|
08-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
08-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
08-02 |
研究阐述(教著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
08-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
08-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
08-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
08Axx |
代数结构[参见03C05] |
Algebraic structures [See also 03C05] |
||
|
08A02 |
关系系统, 合成定律 |
Relational systems, laws of composition |
||
|
08A05 |
结构理论 |
Structure theory |
||
|
08A30 |
子代数, 同余关系 |
Subalgebras, congruence relations |
||
|
08A35 |
自同构, 自同态 |
Automorphisms, endomorphisms |
||
|
08A40 |
运算, 多项式, 初等代数 |
Operations, polynomials, primal algebras |
||
|
08A45 |
等价紧性 |
Equational compactness |
||
|
08A50 |
字问题[参见03D40, 06B25, 20F10, 68R15] |
Word problems [See also 03D40, 06B25, 20F10, 68R15] |
||
|
08A55 |
偏代数 |
Partial algebras |
||
|
08A60 |
一元代数 |
Unary algebras |
||
|
08A62 |
有限代数 |
Finitary algebras |
||
|
08A65 |
无限代数 |
Infinitary algebras |
||
|
08A68 |
非纯一代数 |
Heterogeneous algebras |
||
|
08A70 |
泛代数在计算机科学中的应用 |
Applications of universal algebra in computer science |
||
|
08A72 |
Fuzzy代数结构 |
Fuzzy algebraic structures |
||
|
08A99 |
其它 |
None of the above, but in this section |
||
|
08Bxx |
簇[参见03C05] |
Varieties [See also 03C05] |
||
|
08B05 |
等价逻辑, Mal'cev (Mal'tsev)条件 |
Equational logic, Mal'cev (Mal'tsev) conditions |
||
|
08B10 |
同余模性, 同余分配性 |
Congruence modularity, congruence distributivity |
||
|
08B15 |
簇格 |
Lattices of varieties |
||
|
08B20 |
自由代数 |
Free algebras |
||
|
08B25 |
积, 融和积, 各种极限和上极限[参见18A30] |
Products, amalgamated products, and other kinds of limits and colimits [See also 18A30] |
||
|
08B26 |
次直积与次直不可约性 |
Subdirect products and subdirect irreducibility |
||
|
08B30 |
内射, 射影 |
Injectives, projectives |
||
|
08B99 |
其它 |
None of the above, but in this section |
||
|
08Cxx |
其它代数类 |
Other classes of algebras |
||
|
08C05 |
代数范畴[参见18C05] |
Categories of algebras [See also 18C05] |
||
|
08C10 |
公理化模型类[参见03Cxx, 特别见03C60] |
Axiomatic model classes [See also 03Cxx, in particular 03C60] |
||
|
08C15 |
拟簇 |
Quasivarieties |
||
|
08C20 |
代数类的自然对偶性[参见06E15, 18A40, 22A30] |
Natural dualities for classes of algebras [See also 06E15, 18A40, 22A30] |
||
|
08C99 |
其它 |
None of the above, but in this section |
||
|
11-XX |
数论 |
Number theory |
||
|
11-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
11-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
11-02 |
研究阐述(教著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
11-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
11-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
11-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
11Axx |
初等数论(数域中的模拟, 见11R04) |
Elementary number theory (For analogues in number fields, see 11R04) |
||
|
11A05 |
乘法结构; Euclid算法; 最大公约数 |
Multiplicative structure; Euclidean algorithm; greatest common divisors |
||
|
11A07 |
同余; 原根; 剩余系 |
Congruences; primitive roots; residue systems |
||
|
11A15 |
幂剩余, 互反性 |
Power residues, reciprocity |
||
|
11A25 |
算术函数; 相关数; 反演公式 |
Arithmetic functions; related numbers; inversion formulas |
||
|
11A41 |
素数 |
Primes |
||
|
11A51 |
因子分解; 基本性质 |
Factorization; primality |
||
|
11A55 |
连分数(近似结果, 见11J70)[参见11K50, 30B70, 40A15] |
Continued fractions (For approximation results, see 11J70) [See also 11K50, 30B70, 40A15] |
||
|
11A63 |
基数表示; 数字问题(度量结果, 见11K16) |
Radix representation; digital problems (For metric results, see 11K16) |
||
|
11A67 |
其它表示 |
Other representations |
||
|
11A99 |
其它 |
None of the above, but in this section |
||
|
11Bxx |
序列与集合 |
Sequences and sets |
||
|
11B05 |
稠密性, 间隙, 拓扑 |
Density, gaps, topology |
||
|
11B13 |
加性基, 包括和集[参见05B10] |
Additive bases, including sumsets [See also 05B10] |
||
|
11B25 |
算术级数[参见11N13] |
Arithmetic progressions [See also 11N13] |
||
|
11B30 |
算术组合学; 高度一致性 |
Arithmetic combinatorics; higher degree uniformity |
||
|
11B34 |
表示函数 |
Representation functions |
||
|
11B37 |
递归(特殊函数的应用, 见33-XX) |
Recurrences (For applications to special functions, see 33-XX) |
||
|
11B39 |
Fibonacci数, Lucas数, 多项式及推广 |
Fibonacci and Lucas numbers and polynomials and generalizations |
||
|
11B50 |
序列(模m) |
Sequences (mod m) |
||
|
11B57 |
Farey序列; 序列1k, 2k, … |
Farey sequences; the sequences 1k, 2k, … |
||
|
11B65 |
二项式系数; 阶乘; q-恒等式[参见05A10, 05A30] |
Binomial coefficients; factorials; q-identities [See also 05A10, 05A30] |
||
|
11B68 |
Bernoulli数, Euler数和多项式 |
Bernoulli and Euler numbers and polynomials |
||
|
11B73 |
Bell数和Stirling数 |
Bell and Stirling numbers |
||
|
11B75 |
其它组合数论 |
Other combinatorial number theory |
||
|
11B83 |
特殊序列和多项式 |
Special sequences and polynomials |
||
|
11B85 |
自动机序列 |
Automata sequences |
||
|
11B99 |
其它 |
None of the above, but in this section |
||
|
11Cxx |
多项式和矩阵 |
Polynomials and matrices |
||
|
11C08 |
多项式[参见13F20] |
Polynomials [See also 13F20] |
||
|
11C20 |
矩阵, 行列式[参见15B36] |
Matrices, determinants [See also 15B36] |
||
|
11C99 |
其它 |
None of the above, but in this section |
||
|
11Dxx |
Diophantus方程[参见11Gxx, 14Gxx] |
Diophantine equations [See also 11Gxx, 14Gxx] |
||
|
11D04 |
线性方程 |
Linear equations |
||
|
11D07 |
Frobenius问题 |
The Frobenius problem |
||
|
11D09 |
二次方程和双线性方程 |
Quadratic and bilinear equations |
||
|
11D25 |
三次方程和四次方程 |
Cubic and quartic equations |
||
|
11D41 |
高次方程; Fermat方程 |
Higher degree equations; Fermat’s equation |
||
|
11D45 |
Diophantus方程的计数解 |
Counting solutions of Diophantine equations |
||
|
11D57 |
乘法方程和范数形式方程 |
Multiplicative and norm form equations |
||
|
11D59 |
Thue-Mahler方程 |
Thue-Mahler equations |
||
|
11D61 |
指数方程 |
Exponential equations |
||
|
11D68 |
可作为分数和的有理数 |
Rational numbers as sums of fractions |
||
|
11D72 |
多变量方程[参见11P55] |
Equations in many variables [See also 11P55] |
||
|
11D75 |
Diophantus不等式[参见11J25] |
Diophantine inequalities [See also 11J25] |
||
|
11D79 |
多变量同余 |
Congruences in many variables |
||
|
11D85 |
表示问题[参见11P55] |
Representation problems [See also 11P55] |
||
|
11D88 |
p-进域和幂级数域 |
p-adic and power series fields |
||
|
11D99 |
其它 |
None of the above, but in this section |
||
|
11Exx |
型和线性代数群[参见19Gxx](线性代数二次型, 见15A63) |
Forms and linear algebraic groups [See also 19Gxx] (For quadratic forms in linear algebra, see 15A63) |
||
|
11E04 |
一般域上的二次型 |
Quadratic forms over general fields |
||
|
11E08 |
局部环和局部域上的二次型 |
Quadratic forms over local rings and fields |
||
|
11E10 |
实域上的型 |
Forms over real fields |
||
|
11E12 |
整体环和整体域上的二次型 |
Quadratic forms over global rings and fields |
||
|
11E16 |
一般双元二次型 |
General binary quadratic forms |
||
|
11E20 |
一般三元和四元二次型; 多于两个变量的型 |
General ternary and quaternary quadratic forms; forms of more than two variables |
||
|
11E25 |
平方和及其它特殊二次型的表示 |
Sums of squares and representations by other particular quadratic forms |
||
|
11E39 |
双线性型和Hermite型 |
Bilinear and Hermitian forms |
||
|
11E41 |
二次型和Hermite型的类数 |
Class numbers of quadratic and Hermitian forms |
||
|
11E45 |
解析理论(Epstein ζ函数; 与自同构型和函数的关系) |
Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) |
||
|
11E57 |
典型群[参见14Lxx, 20Gxx] |
Classical groups [See also 14Lxx, 20Gxx] |
||
|
11E70 |
二次型与Hermite型的K-理论 |
K-theory of quadratic and Hermitian forms |
||
|
11E72 |
线性代数群的Galois上同调[参见20G10] |
Galois cohomology of linear algebraic groups [See also 20G10] |
||
|
11E76 |
高于二次的型 |
Forms of degree higher than two |
||
|
11E81 |
二次型的代数理论; Witt群和环[参见19G12, 19G24] |
Algebraic theory of quadratic forms; Witt groups and rings [See also 19G12, 19G24] |
||
|
11E88 |
二次空间; Clifford代数[参见15A63, 15A66] |
Quadratic spaces; Clifford algebras [See also 15A63, 15A66] |
||
|
11E95 |
p-进理论 |
p-adic theory |
||
|
11E99 |
其它 |
None of the above, but in this section |
||
|
11Fxx |
不连续群和自守形式[参见11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx](与二次型的关系, 见11E45) |
Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] (For relations with quadratic forms, see 11E45) |
||
|
11F03 |
模函数和自守函数 |
Modular and automorphic functions |
||
|
11F06 |
模群的结构和推广; 算术群[参见20H05, 20H10, 22E40] |
Structure of modular groups and generalizations; arithmetic groups [See also 20H05, 20H10, 22E40] |
||
|
11F11 |
积分权重的全纯模形式 |
Holomorphic modular forms of integral weight |
||
|
11F12 |
自守形式, 单变量 |
Automorphic forms, one variable |
||
|
11F20 |
Dedekind η函数, Dedekind和 |
Dedekind eta function, Dedekind sums |
||
|
11F22 |
与Lie代数和有限单群的关系 |
Relationship to Lie algebras and finite simple groups |
||
|
11F23 |
与代数几何和拓扑的关系 |
Relations with algebraic geometry and topology |
||
|
11F25 |
Hecke-Petersson算子, 微分算子(单变量) |
Hecke-Petersson operators, differential operators (one variable) |
||
|
11F27 |
θ级数; Weil表示;θ对应 |
Theta series; Weil representation; theta correspondences |
||
|
11F30 |
自守形式的Fourier系数 |
Fourier coefficients of automorphic forms |
||
|
11F32 |
模对应等 |
Modular correspondences, etc. |
||
|
11F33 |
模和p-进模形式的同余[参见14G20, 22E50] |
Congruences for modular and p-adic modular forms [See also 14G20, 22E50] |
||
|
11F37 |
半整数加权形式; 非全纯模形式 |
Forms of half-integer weight; nonholomorphic modular forms |
||
|
11F41 |
GL(2)上的自守形式; Hilbert和Hilbert-Siegel模群及其模形式和自守形式; Hilbert模曲面[参见14J20] |
Automorphic forms on GL(2); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [See also 14J20] |
||
|
11F46 |
Siegel模群; Siegel及Hilbert-Siegel模形式和自守形式 |
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms |
||
|
11F50 |
Jacobi形式 |
Jacobi forms |
||
|
11F52 |
与Drinfel'd模有关的模形式 |
Modular forms associated to Drinfel'd modules |
||
|
11F55 |
其它群及其模形式和自守形式(多变量) |
Other groups and their modular and automorphic forms (several variables) |
||
|
11F60 |
Hecke-Petersson算子, 微分算子(多变量) |
Hecke-Petersson operators, differential operators (several variables) |
||
|
11F66 |
Langlands L-函数;单变量Dirichlet级数和泛函方程 |
Langlands L-functions; one variable Dirichlet series and functional equations |
||
|
11F67 |
自守L-级数的特殊值, 模形式的周期, 上同调, 模符号 |
Special values of automorphic L-series, periods of modular forms, cohomology, modular symbols |
||
|
11F68 |
多复变量中与自守形式相关的Dirichlet级数; Weyl群多重Dirichlet级数 |
Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series |
||
|
11F70 |
表示理论的方法; 局部域和整体域上的自守表示 |
Representation-theoretic methods; automorphic representations over local and global fields |
||
|
11F72 |
谱理论; Selberg迹公式 |
Spectral theory; Selberg trace formula |
||
|
11F75 |
算术群的上同调 |
Cohomology of arithmetic groups |
||
|
11F80 |
Galois表示 |
Galois representations |
||
|
11F85 |
p-进理论, 局部域[参见14G20, 22E50] |
p-adic theory, local fields [See also 14G20, 22E50] |
||
|
11F99 |
其它 |
None of the above, but in this section |
||
|
11Gxx |
算术代数几何(Diophantus几何)[参见11Dxx, 14Gxx, 14Kxx] |
Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] |
||
|
11G05 |
整体域上的椭圆曲线[参见14H52] |
Elliptic curves over global fields [See also 14H52] |
||
|
11G07 |
局部域上的椭圆曲线[参见14G20, 14H52] |
Elliptic curves over local fields [See also 14G20, 14H52] |
||
|
11G09 |
Drinfel'd模; 高维运动等[参见14L05] |
Drinfel'd modules; higher-dimensional motives, etc. [See also 14L05] |
||
|
11G10 |
维数>1的Abel簇[参见14Kxx] |
Abelian varieties of dimension >1 [See also 14Kxx] |
||
|
11G15 |
Abel簇的复数乘法和模数[参见14K22] |
Complex multiplication and moduli of abelian varieties [See also 14K22] |
||
|
11G16 |
椭圆单位和模单位[参见11R27] |
Elliptic and modular units [See also 11R27] |
||
|
11G18 |
模和Shimura簇的算术方面[参见14G35] |
Arithmetic aspects of modular and Shimura varieties [See also 14G35] |
||
|
11G20 |
有限域和局部域上的曲线[参见14H25] |
Curves over finite and local fields [See also 14H25] |
||
|
11G25 |
有限域和局部域上的簇[参见14G15, 14G20] |
Varieties over finite and local fields [See also 14G15, 14G20] |
||
|
11G30 |
整体域上任意亏格或亏格≠1的曲线[参见14H25] |
Curves of arbitrary genus or genus ≠1 over global fields [See also 14H25] |
||
|
11G32 |
Dessins d'enfants, Belyǐ理论 |
Dessins d'enfants, Belyǐ theory |
||
|
11G35 |
整体域上的簇[参见14G25] |
Varieties over global fields [See also 14G25] |
||
|
11G40 |
整体域上簇的L-函数; Birch-Swinnerton-Dyer猜想[参见14G10] |
L-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [See also 14G10] |
||
|
11G42 |
算术镜对称[参见14J33] |
Arithmetic mirror symmetry [See also 14J33] |
||
|
11G45 |
几何类域理论[参见11R37, 14C35, 19F05] |
Geometric class field theory [See also 11R37, 14C35, 19F05] |
||
|
11G50 |
高度[参见14G40, 37P30] |
Heights [See also 14G40, 37P30] |
||
|
11G55 |
多对数及与K-理论的关系 |
Polylogarithms and relations with K-theory |
||
|
11G99 |
其它 |
None of the above, but in this section |
||
|
11Hxx |
数的几何(在编码理论中的应用, 见94B75) |
Geometry of numbers (For applications in coding theory, see 94B75) |
||
|
11H06 |
格与凸体[参见11P21, 52C05, 52C07] |
Lattices and convex bodies [See also 11P21, 52C05, 52C07] |
||
|
11H16 |
非凸体 |
Nonconvex bodies |
||
|
11H31 |
格填装与覆盖[参见05B40, 52C15, 52C17] |
Lattice packing and covering [See also 05B40, 52C15, 52C17] |
||
|
11H46 |
线性型的积 |
Products of linear forms |
||
|
11H50 |
型的极小值 |
Minima of forms |
||
|
11H55 |
二次型(约化理论、极型等) |
Quadratic forms (reduction theory, extreme forms, etc.) |
||
|
11H56 |
格的自同构群 |
Automorphism groups of lattices |
||
|
11H60 |
均值与转移定理 |
Mean value and transfer theorems |
||
|
11H71 |
与编码理论的关系 |
Relations with coding theory |
||
|
11H99 |
其它 |
None of the above, but in this section |
||
|
11Jxx |
Diophantus逼近, 超越数理论[参见11K60] |
Diophantine approximation, transcendental number theory [See also 11K60] |
||
|
11J04 |
一个数的齐次逼近 |
Homogeneous approximation to one number |
||
|
11J06 |
Markov谱和Lagrange谱及推广 |
Markov and Lagrange spectra and generalizations |
||
|
11J13 |
联立齐次逼近, 线性型 |
Simultaneous homogeneous approximation, linear forms |
||
|
11J17 |
固定域中数逼近 |
Approximation by numbers from a fixed field |
||
|
11J20 |
非齐次线性型 |
Inhomogeneous linear forms |
||
|
11J25 |
Diophantus不等式[参见11D75] |
Diophantine inequalities [See also 11D75] |
||
|
11J54 |
多项式小分式部分及推广 |
Small fractional parts of polynomials and generalizations |
||
|
11J61 |
非Archimedes赋值中的逼近 |
Approximation in non-Archimedean valuations |
||
|
11J68 |
代数数逼近 |
Approximation to algebraic numbers |
||
|
11J70 |
连分数及推广[参见11A55, 11K50] |
Continued fractions and generalizations [See also 11A55, 11K50] |
||
|
11J71 |
分布模1[参见11K06] |
Distribution modulo one [See also 11K06] |
||
|
11J72 |
无理性; 域上的线性独立性 |
Irrationality; linear independence over a field |
||
|
11J81 |
超越性(一般理论) |
Transcendence (general theory) |
||
|
11J82 |
无理性和超越性的测度 |
Measures of irrationality and of transcendence |
||
|
11J83 |
度量理论 |
Metric theory |
||
|
11J85 |
代数独立性; Gel'fond方法 |
Algebraic independence; Gel'fond’s method |
||
|
11J86 |
对数中的线性型; Baker方法 |
Linear forms in logarithms; Baker’s method |
||
|
11J87 |
Schmidt子空间定理及应用 |
Schmidt subspace theorem and applications |
||
|
11J89 |
椭圆函数和Abel函数的超越理论 |
Transcendence theory of elliptic and abelian functions |
||
|
11J91 |
其它特殊函数的超越理论 |
Transcendence theory of other special functions |
||
|
11J93 |
Drinfel'd和t-模的超越理论 |
Transcendence theory of Drinfel'd and t-modules |
||
|
11J95 |
涉及Abel簇的结果 |
Results involving abelian varieties |
||
|
11J97 |
Nevanlinna理论中方法的模拟(Vojta等的工作) |
Analogues of methods in Nevanlinna theory (work of Vojta et al.) |
||
|
11J99 |
其它 |
None of the above, but in this section |
||
|
11Kxx |
概率理论: 分布模1; 算法度量理论 |
Probabilistic theory: distribution modulo 1; metric theory of algorithms |
||
|
11K06 |
分布模1的一般理论[参见11J71] |
General theory of distribution modulo 1 [See also 11J71] |
||
|
11K16 |
正规数, 基数展开, Pisot数, Salem数, 好格点等[参见11A63] |
Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. [See also 11A63] |
||
|
11K31 |
特殊序列 |
Special sequences |
||
|
11K36 |
Well分布序列和其它变差 |
Well-distributed sequences and other variations |
||
|
11K38 |
分布的不规则性, 不一致性[参见11Nxx] |
Irregularities of distribution, discrepancy [See also 11Nxx] |
||
|
11K41 |
连续, p-进和抽象模拟 |
Continuous, p-adic and abstract analogues |
||
|
11K45 |
伪随机数; Monte Carlo方法 |
Pseudo-random numbers; Monte Carlo methods |
||
|
11K50 |
连分数度量理论[参见11A55, 11J70] |
Metric theory of continued fractions [See also 11A55, 11J70] |
||
|
11K55 |
其它算法的度量理论和展开; 测度与Hausdorff维数[参见11N99, 28Dxx] |
Metric theory of other algorithms and expansions; measure and Hausdorff dimension [See also 11N99, 28Dxx] |
||
|
11K60 |
Diophantus逼近[参见11Jxx] |
Diophantine approximation [See also 11Jxx] |
||
|
11K65 |
算术函数[参见11Nxx] |
Arithmetic functions [See also 11Nxx] |
||
|
11K70 |
调和分析与殆周期性 |
Harmonic analysis and almost periodicity |
||
|
11K99 |
其它 |
None of the above, but in this section |
||
|
11Lxx |
指数和与特征和(有限域, 见11Txx) |
Exponential sums and character sums (For finite fields, see 11Txx) |
||
|
11L03 |
三角和与指数和, 一般问题 |
Trigonometric and exponential sums, general |
||
|
11L05 |
Gauss和与Kloosterman和; 推广 |
Gauss and Kloosterman sums; generalizations |
||
|
11L07 |
指数和估计 |
Estimates on exponential sums |
||
|
11L10 |
Jacobsthal和与Brewer和; 其它完备特征和 |
Jacobsthal and Brewer sums; other complete character sums |
||
|
11L15 |
Wey1和 |
Weyl sums |
||
|
11L20 |
素数上的和 |
Sums over primes |
||
|
11L26 |
任意区间上的和 |
Sums over arbitrary intervals |
||
|
11L40 |
特征和的估计 |
Estimates on character sums |
||
|
11L99 |
其它 |
None of the above, but in this section |
||
|
11Mxx |
ζ函数与L-函数: 解析理论 |
Zeta and L-functions: analytic theory |
||
|
11M06 |
ζ(s)和L(s, χ) |
ζ(s) and L(s, χ) |
||
|
11M20 |
L(s, χ)的实零点; 关于L(1, χ)的结果 |
Real zeros of L(s, χ); results on L(1, χ) |
||
|
11M26 |
ζ(s)和L(s, χ)的非实零点; Riemann和其它假设 |
Nonreal zeros ofζ(s) and L(s, χ); Riemann and other hypotheses |
||
|
11M32 |
多重 Dirichlet级数和ζ函数以及多ζ值 |
Multiple Dirichlet series and zeta functions and multizeta values |
||
|
11M35 |
Hurwitz和Lerch ζ函数 |
Hurwitz and Lerch zeta functions |
||
|
11M36 |
Selberg ζ函数和正则化行列式; 应用于谱论、Dirichlet级数、Eisenstein级数等显式公式 |
Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. explicit formulas |
||
|
11M38 |
特征p中的ζ函数和L-函数 |
Zeta and L-functions in characteristic p |
||
|
11M41 |
其它Dirichlet级数与ζ函数(局部和整体基本域, 见11R42, 11R52, 11S40, 11S45; 代数几何方法, 见14G10; 参见11E45, 11F66, 11F70, 11F72) |
Other Dirichlet series and zeta functions (For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72) |
||
|
11M45 |
Tauber定理[参见40E05] |
Tauberian theorems [See also 40E05] |
||
|
11M50 |
与随机矩阵的关系 |
Relations with random matrices |
||
|
11M55 |
与非交换几何的关系 |
Relations with noncommutative geometry |
||
|
11M99 |
其它 |
None of the above, but in this section |
||
|
11Nxx |
乘法数论 |
Multiplicative number theory |
||
|
11N05 |
素数分布 |
Distribution of primes |
||
|
11N13 |
级数中的素数[参见11B25] |
Primes in progressions [See also 11B25] |
||
|
11N25 |
带特殊乘法约束的整数分布 |
Distribution of integers with specified multiplicative constraints |
||
|
11N30 |
Turán理论[参见30Bxx] |
Turán theory [See also 30Bxx] |
||
|
11N32 |
用多项式表示的素数; 多项式值的其它乘法结构 |
Primes represented by polynomials; other multiplicative structure of polynomial values |
||
|
11N35 |
筛法 |
Sieves |
||
|
11N36 |
筛法的应用 |
Applications of sieve methods |
||
|
11N37 |
算术函数的渐近结果 |
Asymptotic results on arithmetic functions |
||
|
11N45 |
代数与拓扑结构的计数函数的渐近结果 |
Asymptotic results on counting functions for algebraic and topological structures |
||
|
11N56 |
算术函数的增长率 |
Rate of growth of arithmetic functions |
||
|
11N60 |
与加法和正乘法函数相关的分布函数 |
Distribution functions associated with additive and positive multiplicative functions |
||
|
11N64 |
算术函数的值分布或特征的其它结果 |
Other results on the distribution of values or the characterization of arithmetic functions |
||
|
11N69 |
特殊剩余类中的整数分布 |
Distribution of integers in special residue classes |
||
|
11N75 |
自守函数与型在乘法问题中的应用[参见11Fxx] |
Applications of automorphic functions and forms to multiplicative problems [See also 11Fxx] |
||
|
11N80 |
广义素数与整数 |
Generalized primes and integers |
||
|
11N99 |
其它 |
None of the above, but in this section |
||
|
11Pxx |
堆垒数论; 划分 |
Additive number theory; partitions |
||
|
11P05 |
Waring问题及变量 |
Waring’s problem and variants |
||
|
11P21 |
特殊区域中的格点 |
Lattice points in specified regions |
||
|
11P32 |
Goldbach型定理; 包含素数的其它堆垒问题 |
Goldbach-type theorems; other additive questions involving primes |
||
|
11P55 |
Hardy-Littlewood方法的应用[参见11D85] |
Applications of the Hardy-Littlewood method [See also 11D85] |
||
|
11P70 |
堆垒数论的逆问题, 包括和集 |
Inverse problems of additive number theory, including sumsets |
||
|
11P81 |
划分的基本理论[参见05A17] |
Elementary theory of partitions [See also 05A17] |
||
|
11P82 |
划分的解析理论 |
Analytic theory of partitions |
||
|
11P83 |
划分; 同余和同余限制 |
Partitions; congruences and congruential restrictions |
||
|
11P84 |
划分恒等式; Rogers-Ramanujan型恒等式 |
Partition identities; identities of Rogers-Ramanujan type |
||
|
11P99 |
其它 |
None of the above, but in this section |
||
|
11Rxx |
代数数论: 整体域(复数乘法, 见11G15) |
Algebraic number theory: global fields (For complex multiplication, see 11G15) |
||
|
11R04 |
代数数; 代数整数环 |
Algebraic numbers; rings of algebraic integers |
||
|
11R06 |
PV数及其推广; 其它特殊的代数数; Mahler测度 |
PV-numbers and generalizations; other special algebraic numbers; Mahler measure |
||
|
11R09 |
多项式(不可约性等) |
Polynomials (irreducibility, etc.) |
||
|
11R11 |
二次扩张 |
Quadratic extensions |
||
|
11R16 |
三次和四次扩张 |
Cubic and quartic extensions |
||
|
11R18 |
割圆扩张 |
Cyclotomic extensions |
||
|
11R20 |
其它Abel扩张与亚Abel扩张 |
Other abelian and metabelian extensions |
||
|
11R21 |
其它数域 |
Other number fields |
||
|
11R23 |
Iwasawa理论 |
Iwasawa theory |
||
|
11R27 |
单位与因式分解 |
Units and factorization |
||
|
11R29 |
类数, 类群, 判别式 |
Class numbers, class groups, discriminants |
||
|
11R32 |
Galois理论 |
Galois theory |
||
|
11R33 |
关于代数数的整数表示; 整数环的Galois模结构[参见20C10] |
Integral representations related to algebraic numbers; Galois module structure of rings of integers [See also 20C10] |
||
|
11R34 |
Galois上同调[参见12Gxx, 19A31] |
Galois cohomology [See also 12Gxx, 19A31] |
||
|
11R37 |
类域理论 |
Class field theory |
||
|
11R39 |
Langlands-Weil猜想, 非Abel类域理论[参见11Fxx, 22E55] |
Langlands-Weil conjectures, nonabelian class field theory [See also 11Fxx, 22E55] |
||
|
11R42 |
数域的ζ函数和L-函数[参见11M41, 19F27] |
Zeta functions and L-functions of number fields [See also 11M41, 19F27] |
||
|
11R44 |
素理论分布[参见11N05] |
Distribution of prime ideals [See also 11N05] |
||
|
11R45 |
密度定理 |
Density theorems |
||
|
11R47 |
其它解析理论[参见11Nxx] |
Other analytic theory [See also 11Nxx] |
||
|
11R52 |
四元数与其它可除代数: 算术, ζ函数 |
Quaternion and other division algebras: arithmetic, zeta functions |
||
|
11R54 |
其它代数与整环, 及其ζ函数与L-函数[参见11S45, 16H05, 16Kxx] |
Other algebras and orders, and their zeta and L-functions [See also 11S45, 16H05, 16Kxx] |
||
|
11R56 |
Adèle环与群 |
Adèle rings and groups |
||
|
11R58 |
代数函数域的算术理论[参见14-XX] |
Arithmetic theory of algebraic function fields [See also 14-XX] |
||
|
11R60 |
割圆函数域(类群、Bernoulli目标等) |
Cyclotomic function fields (class groups, Bernoulli objects, etc.) |
||
|
11R65 |
整环的类群和Picard群 |
Class groups and Picard groups of orders |
||
|
11R70 |
整体域的K-理论[参见19Fxx] |
K-theory of global fields [See also 19Fxx] |
||
|
11R80 |
全实域[参见12J15] |
Totally real fields [See also 12J15] |
||
|
11R99 |
其它 |
None of the above, but in this section |
||
|
11Sxx |
代数数论: 局部域和p-进域 |
Algebraic number theory: local and p-adic fields |
||
|
11S05 |
多项式 |
Polynomials |
||
|
11S15 |
分歧与扩张理论 |
Ramification and extension theory |
||
|
11S20 |
Galois理论 |
Galois theory |
||
|
11S23 |
整数表示 |
Integral representations |
||
|
11S25 |
Galois上同调[参见12Gxx, 16H05] |
Galois cohomology [See also 12Gxx, 16H05] |
||
|
11S31 |
类域理论; p-进形式群[参见14L05] |
Class field theory; p-adic formal groups [See also 14L05] |
||
|
11S37 |
Langlands-Weil猜想, 非Abel类域理论[参见11Fxx, 22E50] |
Langlands-Weil conjectures, nonabelian class field theory [See also 11Fxx, 22E50] |
||
|
11S40 |
ζ函数与L-函数[参见11M41, 19F27] |
Zeta functions and L-functions [See also 11M41, 19F27] |
||
|
11S45 |
代数和整环, 及其ζ函数[参见11R52, 11R54, 16Hxx, 16Kxx] |
Algebras and orders, and their zeta functions [See also 11R52, 11R54, 16Hxx, 16Kxx] |
||
|
11S70 |
局部域的K-理论[参见19Fxx] |
K-theory of local fields [See also 19Fxx] |
||
|
11S80 |
其它解析理论(β函数和Γ函数的模拟、p-进积分法等) |
Other analytic theory (analogues of beta and gamma functions, p-adic integration, etc.) |
||
|
11S82 |
非Archimedes动力系统[主要见 37Pxx] |
Non-Archimedean dynamical systems [See mainly 37Pxx] |
||
|
11S85 |
其它非解析理论 |
Other nonanalytic theory |
||
|
11S90 |
准齐性向量空间 |
Prehomogeneous vector spaces |
||
|
11S99 |
其它 |
None of the above, but in this section |
||
|
11Txx |
有限域和有限交换环(数论方面) |
Finite fields and commutative rings (number-theoretic aspects) |
||
|
11T06 |
多项式 |
Polynomials |
||
|
11T22 |
割圆 |
Cyclotomy |
||
|
11T23 |
指数和 |
Exponential sums |
||
|
11T24 |
其它特征和与高斯和 |
Other character sums and Gauss sums |
||
|
11T30 |
结构理论 |
Structure theory |
||
|
11T55 |
有限域上多项式环的算术理论 |
Arithmetic theory of polynomial rings over finite fields |
||
|
11T60 |
有限上半平面 |
Finite upper half-planes |
||
|
11T71 |
代数编码理论; 密码学 |
Algebraic coding theory; cryptography |
||
|
11T99 |
其它 |
None of the above, but in this section |
||
|
11Uxx |
与逻辑的联系 |
Connections with logic |
||
|
11U05 |
可判定性[参见03B25] |
Decidability [See also 03B25] |
||
|
11U07 |
超积[参见03C20] |
Ultraproducts [See also 03C20] |
||
|
11U09 |
模型论[参见03Cxx] |
Model theory [See also 03Cxx] |
||
|
11U10 |
非标准算术[参见03H15] |
Nonstandard arithmetic [See also 03H15] |
||
|
11U99 |
其它 |
None of the above, but in this section |
||
|
11Yxx |
计算数论[参见11-04] |
Computational number theory [See also 11-04] |
||
|
11Y05 |
因子分解 |
Factorization |
||
|
11Y11 |
基本性质 |
Primality |
||
|
11Y16 |
算法; 复杂性[参见68Q25] |
Algorithms; complexity [See also 68Q25] |
||
|
11Y35 |
解析计算 |
Analytic computations |
||
|
11Y40 |
代数数论计算 |
Algebraic number theory computations |
||
|
11Y50 |
Diophantus方程的计算机解 |
Computer solution of Diophantine equations |
||
|
11Y55 |
整数序列的计算 |
Calculation of integer sequences |
||
|
11Y60 |
常数的赋值 |
Evaluation of constants |
||
|
11Y65 |
连分式计算 |
Continued fraction calculations |
||
|
11Y70 |
算术函数值; 表格 |
Values of arithmetic functions; tables |
||
|
11Y99 |
其它 |
None of the above, but in this section |
||
|
11Zxx |
数论的其它应用 |
Miscellaneous applications of number theory |
||
|
11Z05 |
数论的其它应用 |
Miscellaneous applications of number theory |
||
|
11Z99 |
其它 |
None of the above, but in this section |
||
|
12-XX |
域论和多项式 |
Field theory and polynomials |
||
|
12-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
12-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
12-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
12-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
12-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
12-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
12Dxx |
实域和复域 |
Real and complex fields |
||
|
12D05 |
多项式: 因式分解 |
Polynomials: factorization |
||
|
12D10 |
多项式: 零点的位置(代数定理)(解析理论, 见26C10, 30C15) |
Polynomials: location of zeros (algebraic theorems) (For the analytic theory, see 26C10, 30C15) |
||
|
12D15 |
与平方和有关的域(形式实域、Pythagoras域等)[参见11Exx] |
Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) [See also 11Exx] |
||
|
12D99 |
其它 |
None of the above, but in this section |
||
|
12Exx |
一般域论 |
General field theory |
||
|
12E05 |
多项式(不可约性等) |
Polynomials (irreducibility, etc.) |
||
|
12E10 |
特殊多项式 |
Special polynomials |
||
|
12E12 |
方程 |
Equations |
||
|
12E15 |
斜域, 除环[参见11R52, 11R54, 11S45, 16Kxx] |
Skew fields, division rings [See also 11R52, 11R54, 11S45, 16Kxx] |
||
|
12E20 |
有限域(域论方面) |
Finite fields (field-theoretic aspects) |
||
|
12E25 |
Hilbert域; Hilbert不可约性定理 |
Hilbertian fields; Hilbert’s irreducibility theorem |
||
|
12E30 |
域算术 |
Field arithmetic |
||
|
12E99 |
其它 |
None of the above, but in this section |
||
|
12Fxx |
域扩张 |
Field extensions |
||
|
12F05 |
代数扩张 |
Algebraic extensions |
||
|
12F10 |
可分扩张, Galois理论 |
Separable extensions, Galois theory |
||
|
12F12 |
逆Galois理论 |
Inverse Galois theory |
||
|
12F15 |
不可分扩张 |
Inseparable extensions |
||
|
12F20 |
超越扩张 |
Transcendental extensions |
||
|
12F99 |
其它 |
None of the above, but in this section |
||
|
12Gxx |
同调方法(域论) |
Homological methods (field theory) |
||
|
12G05 |
Galois上同调[参见14F22, 16Hxx, 16K50] |
Galois cohomology [See also 14F22, 16Hxx, 16K50] |
||
|
12G10 |
上同调维数 |
Cohomological dimension |
||
|
12G99 |
其它 |
None of the above, but in this section |
||
|
12Hxx |
微分代数与差分代数 |
Differential and difference algebra |
||
|
12H05 |
微分代数[参见13Nxx] |
Differential algebra [See also 13Nxx] |
||
|
12H10 |
差分代数[参见39Axx] |
Difference algebra [See also 39Axx] |
||
|
12H20 |
抽象微分方程[参见34Mxx] |
Abstract differential equations [See also 34Mxx] |
||
|
12H25 |
p-进微分方程[参见11S80, 14G20] |
p-adic differential equations [See also 11S80, 14G20] |
||
|
12H99 |
其它 |
None of the above, but in this section |
||
|
12Jxx |
拓扑域 |
Topological fields |
||
|
12J05 |
赋范域 |
Normed fields |
||
|
12J10 |
值域 |
Valued fields |
||
|
12J12 |
形式p-进域 |
Formally p-adic fields |
||
|
12J15 |
有序域 |
Ordered fields |
||
|
12J17 |
扑拓半域 |
Topological semifields |
||
|
12J20 |
一般赋值理论[参见13A18] |
General valuation theory [See also 13A18] |
||
|
12J25 |
非Archimedes值域[参见30G06, 32P05, 46S10, 47S10] |
Non-Archimedean valued fields [See also 30G06, 32P05, 46S10, 47S10] |
||
|
12J27 |
Krasner-Tate代数[主要见32P05; 参见46S10, 47S10] |
Krasner-Tate algebras [See mainly 32P05; see also 46S10, 47S10] |
||
|
12J99 |
其它 |
None of the above, but in this section |
||
|
12Kxx |
域的推广 |
Generalizations of fields |
||
|
12K05 |
拟域[参见16Y30] |
Near-fields [See also 16Y30] |
||
|
12K10 |
半域[参见16Y60] |
Semifields [See also 16Y60] |
||
|
12K99 |
其它 |
None of the above, but in this section |
||
|
12Lxx |
与逻辑的联系 |
Connections with logic |
||
|
12L05 |
可判定性[参见03B25] |
Decidability [See also 03B25] |
||
|
12L10 |
超积[参见03C20] |
Ultraproducts [See also 03C20] |
||
|
12L12 |
模型论[参见03C60] |
Model theory [See also 03C60] |
||
|
12L15 |
非标准算术[参见03H15] |
Nonstandard arithmetic [See also 03H15] |
||
|
12L99 |
其它 |
None of the above, but in this section |
||
|
12Yxx |
域论和多项式的计算方面 |
Computational aspects of field theory and polynomials |
||
|
12Y05 |
域论和多项式的计算方面 |
Computational aspects of field theory and polynomials |
||
|
12Y99 |
其它 |
None of the above, but in this section |
||
|
13-XX |
交换代数 |
Commutative algebras |
||
|
13-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
13-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
13-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
13-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
13-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
13-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
13Axx |
一般交换环理论 |
General commutative ring theory |
||
|
13A02 |
分次环[参见16W50] |
Graded rings [See also 16W50] |
||
|
13A05 |
整除性; 因式分解[参见13F15] |
Divisibility; factorizations [See also 13F15] |
||
|
13A15 |
理想; 乘法理想理论 |
Ideals; multiplicative ideal theory |
||
|
13A18 |
赋值及其推广[参见12J20] |
Valuations and their generalizations [See also 12J20] |
||
|
13A30 |
理想的结合分次环(Rees环, 形式环), 解析扩展和有关论题 |
Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics |
||
|
13A35 |
特征p方法(Frobenius自同态)与特征p约化; 胎紧闭包[参见13B22] |
Characteristic p methods (Frobenius endomorphism) and reduction to characteristic p; tight closure [See also 13B22] |
||
|
13A50 |
交换环上群的作用; 不变量理论[参见14L24] |
Actions of groups on commutative rings; invariant theory [See also 14L24] |
||
|
13A99 |
其它 |
None of the above, but in this section |
||
|
13Bxx |
环扩张及相关课题 |
Ring extensions and related topics |
||
|
13B02 |
扩张理论 |
Extension theory |
||
|
13B05 |
Galois理论 |
Galois theory |
||
|
13B10 |
态射 |
Morphisms |
||
|
13B21 |
整相关; 上升, 下降 |
Integral dependence; going up, going down |
||
|
13B22 |
环和理想的整闭包[参见13A35]; 整闭环, 相关环(日本的等) |
Integral closure of rings and ideals [See also 13A35]; integrally closed rings, related rings (Japanese, etc.) |
||
|
13B25 |
交换环上的多项式[参见11C08, 11T06, 13F20, 13M10] |
Polynomials over commutative rings [See also 11C08, 11T06, 13F20, 13M10] |
||
|
13B30 |
分式环与局部化[参见16S85] |
Rings of fractions and localization [See also 16S85] |
||
|
13B35 |
完备化[参见13J10] |
Completion [See also 13J10] |
||
|
13B40 |
Étale和平坦扩张; Hensel化; Artin逼近[参见13J15, 14B12, 14B25] |
Étale and flat extensions; Henselization; Artin approximation [See also 13J15, 14B12, 14B25] |
||
|
13B99 |
其它 |
None of the above, but in this section |
||
|
13Cxx |
模和理想理论 |
Theory of modules and ideals |
||
|
13C05 |
结构, 分类定理 |
Structure, classification theorems |
||
|
13C10 |
射影与自由模以及理想[参见19A13] |
Projective and free modules and ideals [See also 19A13] |
||
|
13C11 |
内射与平坦模以及理想 |
Injective and flat modules and ideals |
||
|
13C12 |
挠模与理想 |
Torsion modules and ideals |
||
|
13C13 |
其它特殊类型 |
Other special types |
||
|
13C14 |
Cohen-Macaulay模[参见13H10] |
Cohen-Macaulay modules [See also 13H10] |
||
|
13C15 |
维数理论, 深度, 相关环(悬链线等) |
Dimension theory, depth, related rings (catenary, etc.) |
||
|
13C20 |
类群[参见11R29] |
Class groups [See also 11R29] |
||
|
13C40 |
环绕, 完全相交与行列式理想[参见14M06, 14M10, 14M12] |
Linkage, complete intersections and determinantal ideals [See also 14M06, 14M10, 14M12] |
||
|
13C60 |
模范畴 |
Module categories |
||
|
13C99 |
其它 |
None of the above, but in this section |
||
|
13Dxx |
(上)同调方法(非交换环, 见16Exx; 一般范畴, 见18Gxx) |
Homological methods (For noncommutative rings, see 16Exx; for general categories, see 18Gxx) |
||
|
13D02 |
合冲与预解, 复合 |
Syzygies and resolutions, complexes |
||
|
13D03 |
交换环与交换代数的(上)同调(例如: Hochschild、André-Quillen、循环、二面体等) |
(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) |
||
|
13D05 |
(上)同调维数 |
Homological dimension |
||
|
13D07 |
模上的同调函子(Tor、Ext等) |
Homological functors on modules (Tor, Ext, etc.) |
||
|
13D09 |
导出范畴 |
Derived categories |
||
|
13D10 |
变形和无穷小方法[参见14B10, 14B12, 14D15, 32Gxx] |
Deformations and infinitesimal methods [See also 14B10, 14B12, 14D15, 32Gxx] |
||
|
13D15 |
Grothendieck群, K-理论[参见14C35, 18F30, 19Axx, 19D50] |
Grothendieck groups, K-theory [See also 14C35, 18F30, 19Axx, 19D50] |
||
|
13D22 |
同调猜想(相交定理) |
Homological conjectures (intersection theorems) |
||
|
13D30 |
挠理论[参见13C12, 18E40] |
Torsion theory [See also 13C12, 18E40] |
||
|
13D40 |
Hilbert-Samuel函数和Hilbert-Kunz函数; Poincaré级数 |
Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series |
||
|
13D45 |
局部上同调[参见14B15] |
Local cohomology [See also 14B15] |
||
|
13D99 |
其它 |
None of the above, but in this section |
||
|
13Exx |
链条件, 有限性条件 |
Chain conditions, finiteness conditions |
||
|
13E05 |
Noether环与模 |
Noetherian rings and modules |
||
|
13E10 |
Artin环与模, 有限维代数 |
Artinian rings and modules, finite-dimensional algebras |
||
|
13E15 |
有限生成或表示的环与模; 生成元的数 |
Rings and modules of finite generation or presentation; number of generators |
||
|
13E99 |
其它 |
None of the above, but in this section |
||
|
13Fxx |
算术环与其它特殊环 |
Arithmetic rings and other special rings |
||
|
13F05 |
Dedekind环, Prüfer环, Krull环和Mori环及其推广 |
Dedekind, Prüfer, Krull and Mori rings and their generalizations |
||
|
13F07 |
Euclid环及其推广 |
Euclidean rings and generalizations |
||
|
13F10 |
主理想环 |
Principal ideal rings |
||
|
13F15 |
由因式分解性质定义的环(例如: 原子, 阶乘, 半阶乘)[参见13A05, 14M05] |
Rings defined by factorization properties (e.g., atomic, factorial, half-factorial) [See also 13A05, 14M05] |
||
|
13F20 |
多项式环和理想; 整数值多项式的环[参见11C08, 13B25] |
Polynomial rings and ideals; rings of integer-valued polynomials [See also 11C08, 13B25] |
||
|
13F25 |
形式幂级数环[参见13J05] |
Formal power series rings [See also 13J05] |
||
|
13F30 |
赋值环[参见13A18] |
Valuation rings [See also 13A18] |
||
|
13F35 |
Witt向量及相关环 |
Witt vectors and related rings |
||
|
13F40 |
优环 |
Excellent rings |
||
|
13F45 |
半正规环 |
Seminormal rings |
||
|
13F50 |
直化律环, Hodge代数 |
Rings with straightening laws, Hodge algebras |
||
|
13F55 |
Stanley-Reisner面环; 单纯复形[参见55U10] |
Stanley-Reisner face rings; simplicial complexes [See also 55U10] |
||
|
13F60 |
聚类代数 |
Cluster algebras |
||
|
13F99 |
其它 |
None of the above, but in this section |
||
|
13Gxx |
整体域 |
Integral domains |
||
|
13G05 |
整体域 |
Integral domains |
||
|
13G99 |
其它 |
None of the above, but in this section |
||
|
13Hxx |
局部环和半局部环 |
Local rings and semilocal rings |
||
|
13H05 |
正则局部环 |
Regular local rings |
||
|
13H10 |
特殊类型(Cohen-Macaulay、Gorenstein、Buchsbaum等)[参见14M05] |
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) [See also 14M05] |
||
|
13H15 |
乘法理论与相关课题[参见14C17] |
Multiplicity theory and related topics [See also 14C17] |
||
|
13H99 |
其它 |
None of the above, but in this section |
||
|
13Jxx |
拓扑环和模[参见16W60, 16W80] |
Topological rings and modules [See also 16W60, 16W80] |
||
|
13J05 |
幂级数环[参见13F25] |
Power series rings [See also 13F25] |
||
|
13J07 |
解析代数和解析环[参见32B05] |
Analytical algebras and rings [See also 32B05] |
||
|
13J10 |
完备环, 完备化[参见13B35] |
Complete rings, completion [See also 13B35] |
||
|
13J15 |
Hensel环[参见13B40] |
Henselian rings [See also 13B40] |
||
|
13J20 |
整体拓扑环 |
Global topological rings |
||
|
13J25 |
有序环[参见06F25] |
Ordered rings [See also 06F25] |
||
|
13J30 |
实代数[参见12D15, 14Pxx] |
Real algebra [See also 12D15, 14Pxx] |
||
|
13J99 |
其它 |
None of the above, but in this section |
||
|
13Lxx |
逻辑应用于交换代数[参见03Cxx, 03Hxx] |
Applications of logic to commutative algebra [See also 03Cxx, 03Hxx] |
||
|
13L05 |
逻辑应用于交换代数[参见03Cxx, 03Hxx] |
Applications of logic to commutative algebra [See also 03Cxx, 03Hxx] |
||
|
13L99 |
其它 |
None of the above, but in this section |
||
|
13Mxx |
有限交换环(数论方面, 见11Txx) |
Finite commutative rings (For number-theoretic aspects, see 11Txx) |
||
|
13M05 |
结构 |
Structure |
||
|
13M10 |
多项式 |
Polynomials |
||
|
13M99 |
其它 |
None of the above, but in this section |
||
|
13Nxx |
微分代数[参见12H05, 14F10] |
Differential algebra [See also 12H05, 14F10] |
||
|
13N05 |
微分模 |
Modules of differentials |
||
|
13N10 |
微分算子环及其模[参见16S32, 32C38] |
Rings of differential operators and their modules [See also 16S32, 32C38] |
||
|
13N15 |
求导 |
Derivations |
||
|
13N99 |
其它 |
None of the above, but in this section |
||
|
13Pxx |
计算方面和应用[参见14Qxx, 68W30] |
Computational aspects and applications [See also 14Qxx, 68W30] |
||
|
13P05 |
多项式, 因式分解[参见12Y05] |
Polynomials, factorization [See also 12Y05] |
||
|
13P10 |
Gröbner基; 理想和模的其它基(例如: Janet基和边界基) |
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) |
||
|
13P15 |
解多项式系统; 结式 |
Solving polynomial systems; resultants |
||
|
13P20 |
计算同调代数[参见13Dxx] |
Computational homological algebra [See also 13Dxx] |
||
|
13P25 |
交换代数的应用(例如: 统计学、控制理论、最优化等) |
Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) |
||
|
13P99 |
其它 |
None of the above, but in this section |
||
|
14-XX |
代数几何 |
Algebraic geometry |
||
|
14-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
14-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
14-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
14-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
14-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
14-05 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
14Axx |
基础 |
Foundations |
||
|
14A05 |
相关交换代数[参见13-XX] |
Relevant commutative algebra [See also 13-XX] |
||
|
14A10 |
簇和态射 |
Varieties and morphisms |
||
|
14A15 |
概型和态射 |
Schemes and morphisms |
||
|
14A20 |
推广(代数空间, 叠加) |
Generalizations (algebraic spaces, stacks) |
||
|
14A22 |
非交换代数几何[参见16S38] |
Noncommutative algebraic geometry [See also 16S38] |
||
|
14A25 |
基本问题 |
Elementary questions |
||
|
14A99 |
其它 |
None of the above, but in this section |
||
|
14Bxx |
局部理论 |
Local theory |
||
|
14B05 |
奇异性[参见14E15, 14H20, 14J17, 32Sxx, 58Kxx] |
Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx] |
||
|
14B07 |
奇异性的形变[参见14D15, 32S30] |
Deformations of singularities [See also 14D15, 32S30] |
||
|
14B10 |
无穷小方法[参见13D10] |
Infinitesimal methods [See also 13D10] |
||
|
14B12 |
局部形变理论、Artin逼近等[参见13B40, 13D10] |
Local deformation theory, Artin approximation, etc. [See also 13B40, 13D10] |
||
|
14B15 |
局部上同调[参见13D45, 32C36] |
Local cohomology [See also 13D45, 32C36] |
||
|
14B20 |
形式邻域 |
Formal neighborhoods |
||
|
14B25 |
态射的局部结构: étale、平坦等[参见13B40] |
Local structure of morphisms: étale, flat, etc. [See also 13B40] |
||
|
14B99 |
其它 |
None of the above, but in this section |
||
|
14Cxx |
循环与子概型 |
Cycles and subschemes |
||
|
14C05 |
参数化(Chow和Hilbert概型) |
Parametrization (Chow and Hilbert schemes) |
||
|
14C15 |
(等变的)Chow群和环; motives |
(Equivariant) Chow groups and rings; motives |
||
|
14C17 |
相交理论, 特征类, 相交重数[参见13H15] |
Intersection theory, characteristic classes, intersection multiplicities [See also 13H15] |
||
|
14C20 |
除子, 线性系统, 可逆层 |
Divisors, linear systems, invertible sheaves |
||
|
14C21 |
束, 网, 罗[参见53A60] |
Pencils, nets, webs [See also 53A60] |
||
|
14C22 |
Picard群 |
Picard groups |
||
|
14C25 |
代数闭链 |
Algebraic cycles |
||
|
14C30 |
超越方法, Hodge理论[参见14D07, 32G20, 32J25, 32S35], Hodge猜想 |
Transcendental methods, Hodge theory [See also 14D07, 32G20, 32J25, 32S35], Hodge conjecture |
||
|
14C34 |
Torelli问题[参见32G20] |
Torelli problem [See also 32G20] |
||
|
14C35 |
代数K-理论方法的应用[参见19Exx] |
Applications of methods of algebraic K-theory [See also 19Exx] |
||
|
14C40 |
Riemann-Roch定理[参见19E20, 19L10] |
Riemann-Roch theorems [See also 19E20, 19L10] |
||
|
14C99 |
其它 |
None of the above, but in this section |
||
|
14Dxx |
族, 纤维化 |
Families, fibrations |
||
|
14D05 |
族的结构(Picard-Lefschetz理论、单值[性]等) |
Structure of families (Picard-Lefschetz, monodromy, etc.) |
||
|
14D06 |
纤维化, 退化 |
Fibrations, degenerations |
||
|
14D07 |
Hodge结构的变分[参见32G20] |
Variation of Hodge structures [See also 32G20] |
||
|
14D10 |
算术基域(有限, 局部, 整体) |
Arithmetic ground fields (finite, local, global) |
||
|
14D15 |
形式方法; 形变[参见13D10, 14B07, 32Gxx] |
Formal methods; deformations [See also 13D10, 14B07, 32Gxx] |
||
|
14D20 |
代数模问题, 向量丛的模(解析模问题, 见32G13) |
Algebraic moduli problems, moduli of vector bundles (For analytic moduli problems, see 32G13) |
||
|
14D21 |
数学物理中向量丛和模空间的应用(扭子理论, 瞬子, 量子场论) |
Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) |
||
|
14D22 |
细与粗模空间 |
Fine and coarse moduli spaces |
||
|
14D23 |
叠加和模问题 |
Stacks and moduli problems |
||
|
14D24 |
几何Langlands程序: 代数几何方面[参见22E57] |
Geometric Langlands program: algebrogeometric aspects [See also 22E57] |
||
|
14D99 |
其它 |
None of the above, but in this section |
||
|
14Exx |
双有理几何 |
Birational geometry |
||
|
14E05 |
有理映射和双有理映射 |
Rational and birational maps |
||
|
14E07 |
双有理自同构, Cremona群及推广 |
Birational automorphisms, Cremona group and generalizations |
||
|
14E08 |
有理性问题[参见14M20] |
Rationality questions [See also 14M20] |
||
|
14E15 |
整体理论和奇异性分解[参见14B05, 32S20, 32S45] |
Global theory and resolution of singularities [See also 14B05, 32S20, 32S45] |
||
|
14E16 |
McKay对应 |
McKay correspondence |
||
|
14E18 |
弧与主积分法 |
Arcs and motivic integration |
||
|
14E20 |
覆盖[参见14H30] |
Coverings [See also 14H30] |
||
|
14E22 |
分歧问题[参见11S15] |
Ramification problems [See also 11S15] |
||
|
14E25 |
嵌入 |
Embeddings |
||
|
14E30 |
极小模型程序(Mori理论, 极值射线) |
Minimal model program (Mori theory, extremal rays) |
||
|
14E99 |
其它 |
None of the above, but in this section |
||
|
14Fxx |
(上)同调理论[参见13Dxx] |
(Co)homology theory [See also 13Dxx] |
||
|
14F05 |
层, 层的导出范畴及相关构造[参见14H60, 14J60, 18F20, 32Lxx, 46M20] |
Sheaves, derived categories of sheaves and related constructions [See also 14H60, 14J60, 18F20, 32Lxx, 46M20] |
||
|
14F10 |
微分层和其它特殊层; D-modules; Bernstein-Sato理想及多项式[参见13Nxx, 32C38] |
Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials [See also 13Nxx, 32C38] |
||
|
14F17 |
消没定理[参见32L20] |
Vanishing theorems [See also 32L20] |
||
|
14F18 |
乘法理想 |
Multiplier ideals |
||
|
14F20 |
Étale与其它Grothendieck拓扑和上同调 |
Étale and other Grothendieck topologies and cohomologies |
||
|
14F22 |
概形的Brauer群[参见12G05, 16K50] |
Brauer groups of schemes [See also 12G05, 16K50] |
||
|
14F25 |
经典实上同调和复上同调 |
Classical real and complex cohomology |
||
|
14F30 |
p-进上同调, 结晶线上同调 |
p-adic cohomology, crystalline cohomology |
||
|
14F35 |
同调论; 基本群[参见14H30] |
Homotopy theory; fundamental groups [See also 14H30] |
||
|
14F40 |
de Rham上同调[参见14C30, 32C35, 32L10] |
de Rham cohomology [See also 14C30, 32C35, 32L10] |
||
|
14F42 |
主上同调; 主同伦理论 |
Motivic cohomology; motivic homotopy theory |
||
|
14F43 |
其它代数-几何(上)同调(例如: 相交、等变、Lawson、Deligne(上)同调) |
Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) |
||
|
14F45 |
拓扑性质 |
Topological properties |
||
|
14F99 |
其它 |
None of the above, but in this section |
||
|
14Gxx |
算术问题, Diophantus几何[参见11Dxx, 11Gxx] |
Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] |
||
|
14G05 |
有理点 |
Rational points |
||
|
14G10 |
ζ函数与相关问题[参见11G40](Birch-Swinnerton-Dyer猜想) |
Zeta-functions and related questions [See also 11G40] (Birch-Swinnerton-Dyer conjecture) |
||
|
14G15 |
有限基域 |
Finite ground fields |
||
|
14G17 |
正特征基域 |
Positive characteristic ground fields |
||
|
14G20 |
局部基域 |
Local ground fields |
||
|
14G22 |
刚性解析几何 |
Rigid analytic geometry |
||
|
14G25 |
整体基域 |
Global ground fields |
||
|
14G27 |
其它非代数闭基域 |
Other nonalgebraically closed ground fields |
||
|
14G32 |
泛投射有限群(与模空间, 映射和模塔, Galois理论的关系) |
Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) |
||
|
14G35 |
模和Shimura簇[参见11F41, 11F46, 11G18] |
Modular and Shimura varieties [See also 11F41, 11F46, 11G18] |
||
|
14G40 |
算术簇和概型; Arakelov理论; 高度[参见11G50, 37P30] |
Arithmetic varieties and schemes; Arakelov theory; heights [See also 11G50, 37P30] |
||
|
14G50 |
应用于编码理论和密码学[参见94A60, 94B27, 94B40] |
Applications to coding theory and cryptography [See also 94A60, 94B27, 94B40] |
||
|
14G99 |
其它 |
None of the above, but in this section |
||
|
14Hxx |
曲线 |
Curves |
||
|
14H05 |
代数函数; 函数域[参见11R58] |
Algebraic functions; function fields [See also 11R58] |
||
|
14H10 |
族, 模(代数的) |
Families, moduli (algebraic) |
||
|
14H15 |
族, 模(解析的)[参见30F10, 32Gxx] |
Families, moduli (analytic) [See also 30F10, 32Gxx] |
||
|
14H20 |
奇异性, 局部环[参见13Hxx, 14B05] |
Singularities, local rings [See also 13Hxx, 14B05] |
||
|
14H25 |
算术基域[参见11Dxx, 11G05, 14Gxx] |
Arithmetic ground fields [See also 11Dxx, 11G05, 14Gxx] |
||
|
14H30 |
覆盖, 基本群[参见14E20, 14F35] |
Coverings, fundamental group [See also 14E20, 14F35] |
||
|
14H37 |
自同构 |
Automorphisms |
||
|
14H40 |
Jacobi行列式, Prym簇[参见32G20] |
Jacobians, Prym varieties [See also 32G20] |
||
|
14H42 |
θ函数; Schottky问题[参见14K25, 32G20] |
Theta functions; Schottky problem [See also 14K25, 32G20] |
||
|
14H45 |
特殊曲线和低亏格曲线 |
Special curves and curves of low genus |
||
|
14H50 |
平面和空间曲线 |
Plane and space curves |
||
|
14H51 |
特殊除子(gonality, Brill-Noether理论) |
Special divisors (gonality, Brill-Noether theory) |
||
|
14H52 |
椭圆曲线[参见11G05, 11G07, 14Kxx] |
Ellipse curve [See also 11G05, 11G07, 14Kxx] |
||
|
14H55 |
Riemann曲面; Weierstrass点; 间断序列[参见30Fxx] |
Riemann surfaces; Weierstrass points; gap sequences [See also 30Fxx] |
||
|
14H57 |
Dessins d'enfants理论(算术方面, 见11G32) |
Dessins d'enfants theory (For arithmetic aspects, see 11G32) |
||
|
14H60 |
曲线上的向量丛及其模[参见14D20, 14F05] |
Vector bundles on curves and their moduli [See also 14D20, 14F05] |
||
|
14H70 |
与可积系统的关系 |
Relationships with integrable systems |
||
|
14H81 |
与物理的关系 |
Relationships with physics |
||
|
14H99 |
其它 |
None of the above, but in this section |
||
|
14Jxx |
曲面与高维簇(解析理论, 见32Jxx) |
Surfaces and higher-dimensional varieties (For analytic theory, see 32Jxx) |
||
|
14J10 |
族, 模, 分类: 代数理论 |
Families, moduli, classification: algebraic theory |
||
|
14J15 |
模, 分类: 解析理论; 与模形式的关系[参见32G13] |
Moduli, classification: analytic theory; relations with modular forms [See also 32G13] |
||
|
14J17 |
奇异性[参见14B05, 14E15] |
Singularities [See also 14B05, 14E15] |
||
|
14J20 |
算术基域[参见11Dxx, 11G25, 11G35, 14Gxx] |
Arithmetic ground fields [See also 11Dxx, 11G25, 11G35, 14Gxx] |
||
|
14J25 |
特殊曲面(Hilbert模曲面, 见14G35) |
Special surfaces (For Hilbert modular surfaces, see 14G35) |
||
|
14J26 |
有理曲面和直纹面 |
Rational and ruled surfaces |
||
|
14J27 |
椭圆曲面 |
Elliptic surfaces |
||
|
14J28 |
K3曲面和Enriques曲面 |
K3 surfaces and Enriques surfaces |
||
|
14J29 |
一般型曲面 |
Surfaces of general type |
||
|
14J30 |
3维簇[参见32Q25] |
3-folds [See also 32Q25] |
||
|
14J32 |
Calabi-Yau流形 |
Calabi-Yau manifolds |
||
|
14J33 |
镜对称[参见11G42, 53D37] |
Mirror symmetry [See also 11G42, 53D37] |
||
|
14J35 |
4维簇 |
4-folds |
||
|
14J40 |
n维簇(n >4) |
n-folds (n >4) |
||
|
14J45 |
Fano簇 |
Fano varieties |
||
|
14J50 |
曲面的自同构和高维簇 |
Automorphisms of surfaces and higher-dimensional varieties |
||
|
14J60 |
曲面上的向量丛和高维簇及其模[参见14D20, 14F05, 32Lxx] |
Vector bundles on surfaces and higher-dimensional varieties, and their moduli [See also 14D20, 14F05, 32Lxx] |
||
|
14J70 |
超曲面 |
Hypersurfaces |
||
|
14J80 |
曲面的拓扑(Donaldson多项式, Seiberg-Witten不变量) |
Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) |
||
|
14J81 |
与物理的关系 |
Relationships with physics |
||
|
14J99 |
其它 |
None of the above, but in this section |
||
|
14Kxx |
Abel簇和概型 |
Abelian varieties and schemes |
||
|
14K02 |
同种映射 |
Isogeny |
||
|
14K05 |
代数理论 |
Algebraic theory |
||
|
14K10 |
代数模, 分类[参见11G15] |
Algebraic moduli, classification [See also 11G15] |
||
|
14K12 |
子簇 |
Subvarieties |
||
|
14K15 |
算术基域[参见11Dxx, 11Fxx, 11Gxx, 14Gxx] |
Arithmetic ground fields [See also 11Dxx, 11Fxx, 11Gxx, 14Gxx] |
||
|
14K20 |
解析理论; Abel积分和微分 |
Analytic theory; abelian integrals and differentials |
||
|
14K22 |
复数乘法[参见11G15] |
Complex multiplication [See also 11G15] |
||
|
14K25 |
θ函数[参见14H42] |
Theta functions [See also 14H42] |
||
|
14K30 |
Picard概型, 高阶Jacobi行列式[参见14H40, 32G20] |
Picard schemes, higher Jacobians [See also 14H40, 32G20] |
||
|
14K99 |
其它 |
None of the above, but in this section |
||
|
14Lxx |
代数群(线性代数群, 见20Gxx; Lie代数, 见17B45) |
Algebraic Groups (For linear algebraic groups, see 20Gxx; for Lie algebras, see 17B45) |
||
|
14L05 |
形式群, p-可除群[参见55N22] |
Formal groups, p-divisible groups [See also 55N22] |
||
|
14L10 |
群簇 |
Group varieties |
||
|
14L15 |
群概型 |
Group schemes |
||
|
14L17 |
仿射代数群, 超代数构造[参见17B45, 18D35] |
Affine algebraic groups, hyperalgebra constructions [See also 17B45, 18D35] |
||
|
14L24 |
几何不变量理论[参见13A50] |
Geometric invariant theory [See also 13A50] |
||
|
14L30 |
群作用于簇或概型(商)[参见13A50, 14L24] |
Group actions on varieties or schemes (quotients) [See also 13A50, 14L24] |
||
|
14L35 |
典型群(几何方面)[参见20Gxx, 51N30] |
Classical groups (geometric aspects) [See also 20Gxx, 51N30] |
||
|
14L40 |
其它代数群(几何方面) |
Other algebraic groups (geometric aspects) |
||
|
14L99 |
其它 |
None of the above, but in this section |
||
|
14Mxx |
特殊簇 |
Special varieties |
||
|
14M05 |
由环条件(阶乘, Cohen-Macaulay, 半正规)定义的簇[参见13F45, 13H10] |
Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) [See also 13F45, 13H10] |
||
|
14M06 |
环绕[参见13C40] |
Linkage [See also 13C40] |
||
|
14M07 |
低余维问题 |
Low codimension problems |
||
|
14M10 |
完全相交[参见13C40] |
Complete intersections [See also 13C40] |
||
|
14M12 |
行列式簇[参见13C40] |
Determinantal varieties [See also 13C40] |
||
|
14M15 |
Grassmann簇, Schubert簇, 旗流形[参见32M10, 51M35] |
Grassmannians, Schubert varieties, flag manifolds [See also 32M10, 51M35] |
||
|
14M17 |
齐次空间及其推广[参见32M10, 53C30, 57T15] |
Homogeneous spaces and generalizations [See also 32M10, 53C30, 57T15] |
||
|
14M20 |
有理和单有理簇[参见14E08] |
Rational and unirational varieties [See also 14E08] |
||
|
14M22 |
有理连通簇 |
Rationally connected varieties |
||
|
14M25 |
环面簇, Newton多面体[参见52B20] |
Toric varieties, Newton polyhedra [See also 52B20] |
||
|
14M27 |
紧化; 对称与球形簇 |
Compactifications; symmetric and spherical varieties |
||
|
14M30 |
超簇[参见32C11, 58A50] |
Supervarieties [See also 32C11, 58A50] |
||
|
14M99 |
其它 |
None of the above, but in this section |
||
|
14Nxx |
射影几何和枚举几何[参见51-XX] |
Projective and enumerative geometry [See also 51-XX] |
||
|
14N05 |
射影技巧[参见51N35] |
Projective techniques [See also 51N35] |
||
|
14N10 |
枚举问题(组合问题) |
Enumerative problems (combinatorial problems) |
||
|
14N15 |
经典问题, Schubert演算 |
Classical problems, Schubert calculus |
||
|
14N20 |
线性子空间的构形和布局 |
Configurations and arrangements of linear subspaces |
||
|
14N25 |
低度簇 |
Varieties of low degree |
||
|
14N30 |
相伴问题 |
Adjunction problems |
||
|
14N35 |
Gromov-Witten不变量, 量子上同调, Gopakumar-Vafa不变量, Donaldson-Thomas不变量[参见53D45] |
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants [See also 53D45] |
||
|
14N99 |
其它 |
None of the above, but in this section |
||
|
14Pxx |
实代数和实解析几何 |
Real algebraic and real analytic geometry |
||
|
14P05 |
实代数集[参见12D15, 13J30] |
Real algebraic sets [See also 12D15, 13J30] |
||
|
14P10 |
半代数集和相关空间 |
Semialgebraic sets and related spaces |
||
|
14P15 |
实解析集和半解析集[参见32B20, 32C05] |
Real analytic and semianalytic sets [See also 32B20, 32C05] |
||
|
14P20 |
Nash函数和流形[参见32C07, 58A07] |
Nash functions and manifolds [See also 32C07, 58A07] |
||
|
14P25 |
实代数簇的拓扑 |
Topology of real algebraic varieties |
||
|
14P99 |
其它 |
None of the above, but in this section |
||
|
14Qxx |
代数几何的计算方面[参见12Y05, 13Pxx, 68W30] |
Computational aspects in algebraic geometry [See also 12Y05, 13Pxx, 68W30] |
||
|
14Q05 |
曲线 |
Curves |
||
|
14Q10 |
曲面, 超曲面 |
Surfaces, hypersurfaces |
||
|
14Q15 |
高维簇 |
Higher-dimensional varieties |
||
|
14Q20 |
有效性, 复杂性 |
Effectivity, complexity |
||
|
14Q99 |
其它 |
None of the above, but in this section |
||
|
14Rxx |
仿射几何 |
Affine geometry |
||
|
14R05 |
仿射簇的分类 |
Classification of affine varieties |
||
|
14R10 |
仿射空间(自同构, 嵌入, 异种结构, 消没问题) |
Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) |
||
|
14R15 |
Jacobi问题 |
Jacobian problem |
||
|
14R20 |
在仿射簇上的群作用[参见13A50, 14L30] |
Group actions on affine varieties [See also 13A50, 14L30] |
||
|
14R25 |
仿射纤维化[参见14D06] |
Affine fibrations [See also 14D06] |
||
|
14R99 |
其它 |
None of the above, but in this section |
||
|
14Txx |
Tropical几何[参见12K10, 14M25, 14N10, 52B20] |
Tropical geometry [See also 12K10, 14M25, 14N10, 52B20] |
||
|
14T05 |
Tropical几何[参见12K10, 14M25, 14N10, 52B20] |
Tropical geometry [See also 12K10, 14M25, 14N10, 52B20] |
||
|
14T99 |
其它 |
None of the above, but in this section |
||
|
15-XX |
线性代数和多重线性代数; 矩阵论 |
Linear and multilinear algebra; matrix theory |
||
|
15-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
15-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
15-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
15-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
15-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
15-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
15Axx |
基础线性代数 |
Basic linear algebra |
||
|
15A03 |
向量空间, 线性相关, 秩 |
Vector spaces, linear dependence, rank |
||
|
15A04 |
线性变换, 半线性变换 |
Linear transformations, semilinear transformations |
||
|
15A06 |
线性方程 |
Linear equations |
||
|
15A09 |
矩阵反演, 广义逆 |
Matrix inversion, generalized inverses |
||
|
15A12 |
矩阵的条件[参见65F35] |
Conditioning of matrices [See also 65F35] |
||
|
15A15 |
行列式, 积和式, 其它特殊的矩阵函数[参见19B10, 19B14] |
Determinants, permanents, other special matrix functions [See also 19B10, 19B14] |
||
|
15A16 |
矩阵指数与矩阵相似函数 |
Matrix exponential and similar functions of matrices |
||
|
15A18 |
特征值, 奇异值和特征向量 |
Eigenvalues, singular values, and eigenvectors |
||
|
15A21 |
标准型, 约化, 分类 |
Canonical forms, reductions, classification |
||
|
15A22 |
矩阵束[参见47A56] |
Matrix pencils [See also 47A56] |
||
|
15A23 |
矩阵的因式分解 |
Factorization of matrices |
||
|
15A24 |
矩阵方程和恒等式 |
Matrix equations and identities |
||
|
15A27 |
交换性 |
Commutativity |
||
|
15A29 |
逆问题 |
Inverse problems |
||
|
15A30 |
矩阵的代数系统[参见16S50, 20Gxx, 20Hxx] |
Algebraic systems of matrices [See also 16S50, 20Gxx, 20Hxx] |
||
|
15A33 |
特殊环上的矩阵(四元数、有限域等) |
Matrices over special rings (quaternions, finite fields, etc.) |
||
|
15A39 |
线性不等式 |
Linear inequalities |
||
|
15A42 |
涉及特征值和特征向量的不等式 |
Inequalities involving eigenvalues and eigenvectors |
||
|
15A45 |
各种涉及矩阵的不等式 |
Miscellaneous inequalities involving matrices |
||
|
15A54 |
一个或多个变量函数环上的矩阵 |
Matrices over function rings in one or more variables |
||
|
15A60 |
矩阵的范数, 数值范围, 泛函分析在矩阵论中的应用[参见65F35, 65J05] |
Norms of matrices, numerical range, applications of functional analysis to matrix theory [See also 65F35, 65J05] |
||
|
15A63 |
二次型和双线性型, 内积[主要见11Exx] |
Quadratic and bilinear forms, inner products [See mainly 11Exx] |
||
|
15A66 |
Clifford代数, 旋量 |
Clifford algebras, spinors |
||
|
15A69 |
多重线性代数, 张量积 |
Multilinear algebra, tensor products |
||
|
15A72 |
向量和张量代数, 不变量理论[参见13A50, 14L24] |
Vector and tensor algebra, theory of invariants [See also 13A50, 14L24] |
||
|
15A75 |
外代数, Grassmann代数 |
Exterior algebra, Grassmann algebras |
||
|
15A78 |
用模构建的其它代数 |
Other algebras built from modules |
||
|
15A80 |
最大加与相关代数 |
Max-plus and related algebras |
||
|
15A83 |
矩阵完备化问题 |
Matrix completion problems |
||
|
15A86 |
线性保持问题 |
Linear preserver problems |
||
|
15A99 |
杂题 |
Miscellaneous topics |
||
|
15Bxx |
特殊矩阵 |
Special matrices |
||
|
15B05 |
Toeplitz, Cauchy及其相关矩阵 |
Toeplitz, Cauchy, and related matrices |
||
|
15B10 |
正交矩阵 |
Orthogonal matrices |
||
|
15B15 |
模糊矩阵 |
Fuzzy matrices |
||
|
15B33 |
特殊环上的矩阵(四元数、有限域等) |
Matrices over special rings (quaternions, finite fields, etc.) |
||
|
15B34 |
Boole和Hadamard矩阵 |
Boolean and Hadamard matrices |
||
|
15B35 |
符号模式矩阵 |
Sign pattern matrices |
||
|
15B36 |
整数矩阵[参见11C20] |
Matrices of integers [See also 11C20] |
||
|
15B48 |
正矩阵及其推广; 矩阵锥 |
Positive matrices and their generalizations; cones of matrices |
||
|
15B51 |
随机矩阵 |
Stochastic matrices |
||
|
15B52 |
随机矩阵 |
Random matrices |
||
|
15B57 |
Hermitian, 斜-Hermitian及其相关矩阵 |
Hermitian, skew-Hermitian, and related matrices |
||
|
15B99 |
其它 |
None of the above, but in this section |
||
|
16-XX |
结合环与结合代数(交换情形, 见13-XX) |
Associative rings and algebras (For the commutative case, see 13-XX) |
||
|
16-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
16-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
16-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
16-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
16-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
16-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
16Bxx |
一般问题与杂题 |
General and miscellaneous |
||
|
16B50 |
范畴论的方法和结果(16D90除外)[参见18-XX] |
Category-theoretic methods and results (except as in 16D90) [See also 18-XX] |
||
|
16B70 |
逻辑应用[参见03Cxx] |
Applications of logic [See also 03Cxx] |
||
|
16B99 |
其它 |
None of the above, but in this section |
||
|
16Dxx |
模, 双模和理想 |
Modules, bimodules and ideals |
||
|
16D10 |
一般模理论 |
General module theory |
||
|
16D20 |
双模 |
Bimodules |
||
|
16D25 |
理想 |
Ideals |
||
|
16D30 |
无穷维单环(16Kxx除外) |
Infinite-dimensional simple rings (except as in 16Kxx) |
||
|
16D40 |
自由模, 射影模和平坦模及理想[参见19A13] |
Free, projective, and flat modules and ideals [See also 19A13] |
||
|
16D50 |
内射模, 自内射环[参见16L60] |
Injective modules, self-injective rings [See also 16L60] |
||
|
16D60 |
单模和半单模, 本原环和理想 |
Simple and semisimple modules, primitive rings and ideals |
||
|
16D70 |
结构和分类(16Gxx除外), 直和分解, 消去 |
Structure and classification (except as in 16Gxx), direct sum decomposition, cancellation |
||
|
16D80 |
模和理想的其它类[参见16G50] |
Other classes of modules and ideals [See also 16G50] |
||
|
16D90 |
模范畴[参见16Gxx, 16S90]; 范畴论中的模理论; Morita等价与对偶 |
Module categories [See also 16Gxx, 16S90]; module theory in a category-theoretic context; Morita equivalence and duality |
||
|
16D99 |
其它 |
None of the above, but in this section |
||
|
16Exx |
同调方法(交换环, 见13Dxx; 一般范畴, 见18Gxx) |
Homological methods (For commutative rings, see 13Dxx; for general categories, see 18Gxx) |
||
|
16E05 |
合冲, 预解, 复形 |
Syzygies, resolutions, complexes |
||
|
16E10 |
同调维数 |
Homological dimension |
||
|
16E20 |
Grothendieck群、K-理论等[参见18F30, 19Axx, 19D50] |
Grothendieck groups, K-theory, etc. [See also 18F30, 19Axx, 19D50] |
||
|
16E30 |
模上的同调函子(Tor、Ext等) |
Homological functors on modules (Tor, Ext, etc.) |
||
|
16E35 |
导出范畴 |
Derived categories |
||
|
16E40 |
环和代数的(上)同调(例如: Hochschild、循环、二面体等) |
(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) |
||
|
16E45 |
微分分次代数及其应用 |
Differential graded algebras and applications |
||
|
16E50 |
von Neumann正则环及其推广 |
von Neumann regular rings and generalizations |
||
|
16E60 |
半遗传环和遗传环、自由理想环、Sylvester环等 |
Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. |
||
|
16E65 |
环上的同调条件(正则、Gorenstein、Cohen-Macaulay等环的推广) |
Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) |
||
|
16E99 |
其它 |
None of the above, but in this section |
||
|
16Gxx |
环和代数的表示理论 |
Representation theory of rings and algebras |
||
|
16G10 |
Artin环的表示 |
Representations of Artinian rings |
||
|
16G20 |
箭图和偏序集的表示 |
Representations of quivers and partially ordered sets |
||
|
16G30 |
交换环上的整环, 格和代数的表示[参见16Hxx] |
Representations of orders, lattices, algebras over commutative rings [See also 16Hxx] |
||
|
16G50 |
Cohen-Macaulay模 |
Cohen-Macaulay modules |
||
|
16G60 |
表示类型(有限、驯顺、非驯顺等) |
Representation type (finite, tame, wild, etc.) |
||
|
16G70 |
Auslander-Reiten序列(几乎分裂序列)与Auslander-Reiten箭图 |
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers |
||
|
16G99 |
其它 |
None of the above, but in this section |
||
|
16Hxx |
代数与整环(算术方面, 见11R52, 11R54, 11S45;表示理论, 见16G30) |
Algebras and orders (For arithmetic aspects, see 11R52, 11R54, 11S45; for representation theory, see 16G30) |
||
|
16H05 |
可分代数(例如: 四元数代数、Azumaya代数等) |
Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) |
||
|
16H10 |
可分代数的整环 |
Orders in separable algebras |
||
|
16H15 |
交换整环 |
Commutative orders |
||
|
16H20 |
整环上的格 |
Lattices over orders |
||
|
16H99 |
其它 |
None of the above, but in this section |
||
|
16Kxx |
除环与半单Artin环[参见12E15, 15A30] |
Division rings and semisimple Artin rings [See also 12E15, 15A30] |
||
|
16K20 |
有限维的(叉积, 见16S35) |
Finite-dimensional (For crossed products, see 16S35) |
||
|
16K40 |
无限维的与一般情形 |
Infinite-dimensional and general |
||
|
16K50 |
Brauer群[参见12G05, 14F22] |
Brauer groups [See also 12G05, 14F22] |
||
|
16K99 |
其它 |
None of the above, but in this section |
||
|
16Lxx |
局部环及其推广 |
Local rings and generalizations |
||
|
16L30 |
非交换局部环和半局部环, 完美环 |
Noncommutative local and semilocal rings, perfect rings |
||
|
16L60 |
拟Frobenius环[参见16D50] |
Quasi-Frobenius rings [See also 16D50] |
||
|
16L99 |
其它 |
None of the above, but in this section |
||
|
16Nxx |
环的根和根性质 |
Radicals and radical properties of rings |
||
|
16N20 |
Jacobson根, 拟乘法 |
Jacobson radical, quasimultiplication |
||
|
16N40 |
零和幂零根, 集合, 理想与环 |
Nil and nilpotent radicals, sets, ideals, rings |
||
|
16N60 |
素环与半素环[参见16D60, 16U10] |
Prime and semiprime rings [See also 16D60, 16U10] |
||
|
16N80 |
广义根和环(模范畴中的根, 见16S90) |
General radicals and rings (For radicals in module categories, see 16S90) |
||
|
16N99 |
其它 |
None of the above, but in this section |
||
|
16Pxx |
链条件, 增长条件和其它有限性形式 |
Chain conditions, growth conditions, and other forms of finiteness |
||
|
16P10 |
有限环和有限维代数(半单情形, 见16K20; 交换情形, 见11Txx, 13Mxx) |
Finite rings and finite-dimensional algebras (For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx) |
||
|
16P20 |
Artin环和模 |
Artinian rings and modules |
||
|
16P40 |
Noether环和模 |
Noetherian rings and modules |
||
|
16P50 |
局部化与Noether环[参见16U20] |
Localization and Noetherian rings [See also 16U20] |
||
|
16P60 |
零化子与直和项上的链条件: Goldie型条件[参见16U20], Krull维 |
Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension |
||
|
16P70 |
其它子模、理想、子环等上的链条件; 凝聚 |
Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence |
||
|
16P90 |
增长率, Gelfand-Kirillov维数 |
Growth rate, Gelfand-Kirillov dimension |
||
|
16P99 |
其它 |
None of the above, but in this section |
||
|
16Rxx |
具有多项式恒等式的环 |
Rings with polynomial identity |
||
|
16R10 |
T理想, 恒等式, 环与代数的簇 |
T-ideals, identities, varieties of rings and algebras |
||
|
16R20 |
半素多项式恒等式环, 交换环上矩阵中的环可嵌入 |
Semiprime p.i. rings, rings embeddable in matrices over commutative rings |
||
|
16R30 |
迹环与不变量理论 |
Trace rings and invariant theory |
||
|
16R40 |
交换环上矩阵恒等式以外的恒等式 |
Identities other than those of matrices over commutative rings |
||
|
16R50 |
其它恒等式(广义多项式, 有理的, 对合) |
Other kinds of identities (generalized polynomial, rational, involution) |
||
|
16R60 |
泛函恒等式 |
Functional identities |
||
|
16R99 |
其它 |
None of the above, but in this section |
||
|
16Sxx |
各种构造下的环与代数 |
Rings and algebras arising under various constructions |
||
|
16S10 |
由泛性质确定的环(自由代数、余积、逆的附加等) |
Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) |
||
|
16S15 |
有限生成, 有限表示, 范式(菱形引理, 项重写) |
Finite generation, finite representability, normal forms (diamond lemma, term-rewriting) |
||
|
16S20 |
中心化与正规扩张 |
Centralizing and normalizing extensions |
||
|
16S30 |
Lie代数的泛包络代数[主要见17B35] |
Universal enveloping algebras of Lie algebras [See mainly 17B35] |
||
|
16S32 |
微分算子环[参见13N10, 32C38] |
Rings of differential operators [See also 13N10, 32C38] |
||
|
16S34 |
群环[参见20C05, 20C07], Laurent多项式环 |
Group rings [See also 20C05, 20C07], Laurent polynomial rings |
||
|
16S35 |
挠群环和斜群环, 叉积 |
Twisted and skew group rings, crossed products |
||
|
16S36 |
普通多项式环和斜多项式环以及半群环[参见20M25] |
Ordinary and skew polynomial rings and semigroup rings [See also 20M25] |
||
|
16S37 |
二次和Koszul代数 |
Quadratic and Koszul algebras |
||
|
16S38 |
来自非交换代数几何的环[参见14A22] |
Rings arising from non-commutative algebraic geometry [See also 14A22] |
||
|
16S40 |
一般Hopf作用的Smash积[参见16T05] |
Smash products of general Hopf actions [See also 16T05] |
||
|
16S50 |
自同态环; 矩阵环[参见15-XX] |
Endomorphism rings; matrix rings [See also 15-XX] |
||
|
16S60 |
函数环, 子直积, 环层 |
Rings of functions, subdirect products, sheaves of rings |
||
|
16S70 |
用理想表示的环扩张 |
Extensions of rings by ideals |
||
|
16S80 |
环形变[参见13D10, 14D15] |
Deformations of rings [See also 13D10, 14D15] |
||
|
16S85 |
分式环与局部化[参见13B30] |
Rings of fractions and localizations [See also 13B30] |
||
|
16S90 |
挠理论; 模范畴上的根[参见13D30, 18E40](环的根, 见16Nxx) |
Torsion theories; radicals on module categories [See also 13D30, 18E40](For radicals of rings, see 16Nxx) |
||
|
16S99 |
其它 |
None of the above, but in this section |
||
|
16Txx |
Hopf代数, 量子群及相关课题 |
Hopf algebras, quantum groups and related topics |
||
|
16T05 |
Hopf代数及其应用[参见16S40, 57T05] |
Hopf algebras and their applications [See also 16S40, 57T05] |
||
|
16T10 |
双代数 |
Bialgebras |
||
|
16T15 |
余代数与余模;余环 |
Coalgebras and comodules; corings |
||
|
16T20 |
量子群的环论方面[参见17B37, 20G42, 81R50] |
Ring-theoretic aspects of quantum groups [See also 17B37, 20G42, 81R50] |
||
|
16T25 |
Yang-Baxter方程 |
Yang-Baxter equations |
||
|
16T30 |
与组合学的联系 |
Connections with combinatorics |
||
|
16T99 |
其它 |
None of the above, but in this section |
||
|
16Uxx |
元素的条件 |
Conditions on elements |
||
|
16U10 |
整环 |
Integral domains |
||
|
16U20 |
Ore环, 乘性集, Ore局部化 |
Ore rings, multiplicative sets, Ore localization |
||
|
16U30 |
可除性, 非交换惟一因式分解整环 |
Divisibility, noncommutative UFDs |
||
|
16U60 |
单位, 单位群 |
Units, groups of units |
||
|
16U70 |
中心, 正规化子(不变元) |
Center, normalizer (invariant elements) |
||
|
16U80 |
交换性的推广 |
Generalizations of commutativity |
||
|
16U99 |
其它 |
None of the above, but in this section |
||
|
16Wxx |
具有附加结构的环和代数 |
Rings and algebras with additional structure |
||
|
16W10 |
具有对合的环; Lie结构, Jordan结构和其它非结合结构[参见17B60, 17C50, 46Kxx] |
Rings with involution; Lie, Jordan and other nonassociative structures [See also 17B60, 17C50, 46Kxx] |
||
|
16W20 |
自同构与自同态 |
Automorphisms and endomorphisms |
||
|
16W22 |
群和半群的作用; 不变量理论 |
Actions of groups and semigroups; invariant theory |
||
|
16W25 |
求导, Lie代数的作用 |
Derivations, actions of Lie algebras |
||
|
16W50 |
分次环与分次模 |
Graded rings and modules |
||
|
16W55 |
“超”(或“斜”)结构[参见17A70, 17Bxx, 17C70](外代数, 见15A75; Clifford代数, 见11E88, 15A66) |
“Super” (or “skew”) structure [See also 17A70, 17Bxx, 17C70] (For exterior algebras, see 15A75; for Clifford algebras, see 11E88, 15A66) |
||
|
16W60 |
赋值, 完备性, 形式幂级数和相关构造[参见13Jxx] |
Valuations, completions, formal power series and related constructions [See also 13Jxx] |
||
|
16W70 |
滤子化环; 过滤和分次技巧 |
Filtered rings; filtrational and graded techniques |
||
|
16W80 |
拓扑环和有序环及模[参见06F25, 13Jxx] |
Topological and ordered rings and modules [See also 06F25, 13Jxx] |
||
|
16W99 |
其它 |
None of the above, but in this section |
||
|
16Yxx |
推广(非结合环, 见17-XX) |
Generalizations (For nonassociative rings, see 17-XX) |
||
|
16Y30 |
拟环[参见12K05] |
Near-rings [See also 12K05] |
||
|
16Y60 |
半环[参见12K10] |
Semirings [See also 12K10] |
||
|
16Y99 |
其它 |
None of the above, but in this section |
||
|
16Zxx |
结合环的计算方面 |
Computational aspects of associative rings |
||
|
16Z05 |
结合环的计算方面[参见68W30] |
Computations aspects of associative rings [See also 68W30] |
||
|
16Z99 |
其它 |
None of the above, but in this section |
||
|
17-XX |
非结合环与非结合代数 |
Nonassociative rings and algebras |
||
|
17-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
17-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
17-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
17-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
17-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
17-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
17-08 |
计算方法 |
Computational methods |
||
|
17Axx |
一般非结合环 |
General nonassociative rings |
||
|
17A01 |
一般理论 |
General theory |
||
|
17A05 |
幂结合环 |
Power-associative rings |
||
|
17A15 |
非交换Jordan代数 |
Noncommutative Jordan algebras |
||
|
17A20 |
可拐代数 |
Flexible algebras |
||
|
17A30 |
满足其它恒等式的代数 |
Algebras satisfying other identities |
||
|
17A32 |
Leibniz代数 |
Leibniz algebras |
||
|
17A35 |
可除代数 |
Division algebras |
||
|
17A36 |
自同构, 求导, 其它算子 |
Automorphisms, derivations, other operators |
||
|
17A40 |
三元合成 |
Ternary compositions |
||
|
17A42 |
其它n元合成(n≥3) |
Other n-ary compositions (n≥3) |
||
|
17A45 |
二次代数(非二次Jordan代数) |
Quadratic algebras (but not quadratic Jordan algebras) |
||
|
17A50 |
自由代数 |
Free algebras |
||
|
17A60 |
结构理论 |
Structure theory |
||
|
17A65 |
根理论 |
Radical theory |
||
|
17A70 |
超代数 |
Superalgebras |
||
|
17A75 |
合成代数 |
Composition algebras |
||
|
17A80 |
赋值代数 |
Valued algebras |
||
|
17A99 |
其它 |
None of the above, but in this section |
||
|
17Bxx |
Lie代数和Lie超代数(Lie群, 见22Exx) |
Lie algebras and Lie superalgebras (For Lie groups, see 22Exx) |
||
|
17B01 |
恒等式, 自由Lie(超)代数 |
Identities, free Lie (super) algebras |
||
|
17B05 |
结构理论 |
Structure theory |
||
|
17B08 |
余伴随轨道; 幂零簇 |
Coadjoint orbits; nilpotent varieties |
||
|
17B10 |
表示, 代数理论(权) |
Representations, algebraic theory (weights) |
||
|
17B15 |
表示, 解析理论 |
Representations, analytic theory |
||
|
17B20 |
单, 半单, 约化(超)代数 |
Simple, semisimple, reductive (super) algebras |
||
|
17B22 |
根系 |
Root systems |
||
|
17B25 |
例外(超)代数 |
Exceptional (super)algebras |
||
|
17B30 |
可解代数, 幂零(超)代数 |
Solvable, nilpotent (super) algebras |
||
|
17B35 |
泛包络(超)代数[参见16S30] |
Universal enveloping (super) algebras [See also 16S30] |
||
|
17B37 |
量子群(量子包络代数)和有关形变[参见16T20, 20G42, 81R50, 82B23] |
Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23] |
||
|
17B40 |
自同构, 求导, 其它算子 |
Automorphisms, derivations, other operators |
||
|
17B45 |
线性代数群的Lie代数[参见14Lxx和20Gxx] |
Lie algebras of linear algebraic groups [See also 14Lxx and 20Gxx] |
||
|
17B50 |
模Lie(超)代数 |
Modular Lie (super) algebras |
||
|
17B55 |
Lie(超)代数中的同调方法 |
Homological methods in Lie (super)algebras |
||
|
17B56 |
Lie(超)代数的上同调 |
Cohomology of Lie (super) algebras |
||
|
17B60 |
伴有其它结构(结合的、Jordan等)的Lie(超)代数[参见16W10, 17C40, 17C50] |
Lie (super) algebras associated with other structures (associative, Jordan, etc.) [See also 16W10, 17C40, 17C50] |
||
|
17B62 |
Lie双代数; Lie余代数 |
Lie bialgebras; Lie coalgebras |
||
|
17B63 |
Poisson代数 |
Poisson algebras |
||
|
17B65 |
无限维Lie(超)代数[参见22E65] |
Infinite-dimensional Lie (super) algebras [See also 22E65] |
||
|
17B66 |
向量域Lie(超)代数与有关的(超)代数 |
Lie algebras of vector fields and related (super) algebras |
||
|
17B67 |
Kac-Moody(超)代数; 扩展的仿射Lie代数; 环形Lie代数 |
Kac-Moody (super) algebras; extended affine Lie algebras; toroidal Lie algebras |
||
|
17B68 |
Virasoro代数和相关代数 |
Virasoro and related algebras |
||
|
17B69 |
极点算子; 极点算子代数和相关结构 |
Vertex operators; vertex operator algebras and related structures |
||
|
17B70 |
分次Lie(超)代数 |
Graded Lie (super) algebras |
||
|
17B75 |
着色Lie(超)代数 |
Color Lie (super) algebras |
||
|
17B80 |
应用于可积系统 |
Applications to integrable systems |
||
|
17B81 |
应用于物理 |
Applications to physics |
||
|
17B99 |
其它 |
None of the above, but in this section |
||
|
17Cxx |
Jordan代数(代数, 三元组和对) |
Jordan algebras (algebras, triples and pairs) |
||
|
17C05 |
恒等式与自由Jordan结构 |
Identities and free Jordan structures |
||
|
17C10 |
结构理论 |
Structure theory |
||
|
17C17 |
根 |
Radicals |
||
|
17C20 |
单, 半单代数 |
Simple, semisimple algebras |
||
|
17C27 |
幂等的, Peirce分解 |
Idempotents, Peirce decompositions |
||
|
17C30 |
结合群, 自同构 |
Associated groups, automorphisms |
||
|
17C36 |
结合流形 |
Associated manifolds |
||
|
17C37 |
结合几何 |
Associated geometries |
||
|
17C40 |
例外Jordan结构 |
Exceptional Jordan structures |
||
|
17C50 |
具有其它结构的Jordan结构[参见16W10] |
Jordan structures associated with other structures [See also 16W10] |
||
|
17C55 |
有限维结构 |
Finite-dimensional structures |
||
|
17C60 |
可除代数 |
Division algebras |
||
|
17C65 |
Banach空间和代数上的Jordan结构[参见46H70, 46L70] |
Jordan structures on Banach spaces and algebras [See also 46H70, 46L70] |
||
|
17C70 |
超结构 |
Super structures |
||
|
17C90 |
应用于物理 |
Applications to physics |
||
|
17C99 |
其它 |
None of the above, but in this section |
||
|
17Dxx |
其它非结合环与代数 |
Other nonassociative rings and algebras |
||
|
17D05 |
交错环 |
Alternative rings |
||
|
17D10 |
Mal'cev(Mal'tsev)环与代数 |
Mal'cev (Mal'tsev) rings and algebras |
||
|
17D15 |
右交错环 |
Right alternative rings |
||
|
17D20 |
(γ, δ)-环, 包含(1, -1)-环 |
(γ, δ)-rings, including (1, -1)-rings |
||
|
17D25 |
Lie容许代数 |
Lie-admissible algebras |
||
|
17D92 |
遗传代数 |
Genetic algebras |
||
|
17D99 |
其它 |
None of the above, but in this section |
||
|
18-XX |
范畴论; 同调代数(交换环, 见13Dxx;结合环16Exx, 群20Jxx, 拓扑群和相关结构57Txx; 代数拓扑, 参见55Nxx和55Uxx) |
Category theory; homological algebra (For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx see also 55Nxx and 55Uxx for algebraic topology) |
||
|
18-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
18-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
18-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
18-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
18-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
18-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
18Axx |
范畴与函子的一般理论 |
General theory of categories and functors |
||
|
18A05 |
定义与推广 |
Definitions, generalizations |
||
|
18A10 |
图, 图解概型, 预范畴[特别见20L05] |
Graphs, diagram schemes, precategories [See especially 20L05] |
||
|
18A15 |
基础, 与逻辑和演绎系统的关系[参见03-XX] |
Foundations, relations to logic and deductive systems [See also 03-XX] |
||
|
18A20 |
满射, 单射, 特殊类射, 零射 |
Epimorphisms, monomorphisms, special classes of morphisms, null morphisms |
||
|
18A22 |
函子的特性(忠实的、满的等) |
Special properties of functors (faithful, full, etc.) |
||
|
18A23 |
自然射, 双自然射 |
Natural morphisms, dinatural morphisms |
||
|
18A25 |
函子范畴, 逗号范畴 |
Functor categories, comma categories |
||
|
18A30 |
极限与上极限(积、和、有向极限、前推、纤维积、等化子、核、端和上端等) |
Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) |
||
|
18A32 |
射的因子分解, 子结构, 商结构, 同余, 融和 |
Factorization of morphisms, substructures, quotient structures, congruences, amalgams |
||
|
18A35 |
容许极限范畴(完全范畴), 保极限函子, 完备化 |
Categories admitting limits (complete categories), functors preserving limits, completions |
||
|
18A40 |
伴随函子(泛构造、反射子范畴、Kan扩张等) |
Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) |
||
|
18A99 |
其它 |
None of the above, but in this section |
||
|
18Bxx |
特殊范畴 |
Special categories |
||
|
18B05 |
集范畴, 特征[参见03-XX] |
Category of sets, characterizations [See also 03-XX] |
||
|
18B10 |
关系范畴, 加法关系 |
Category of relations, additive relations |
||
|
18B15 |
嵌入定理, 泛范畴[参见18E20] |
Embedding theorems, universal categories [See also 18E20] |
||
|
18B20 |
机器范畴, 自动机, 运算范畴[参见03D05, 68Qxx] |
Categories of machines, automata, operative categories [See also 03D05, 68Qxx] |
||
|
18B25 |
普通概念[参见03G30] |
Topoi [See also 03G30] |
||
|
18B30 |
拓扑空间的范畴与连续映射[参见54-XX] |
Categories of topological spaces and continuous mappings [See also 54-XX] |
||
|
18B35 |
前序, 序和格(被视作范畴)[参见06-XX] |
Preorders, orders and lattices (viewed as categories) [See also 06-XX] |
||
|
18B40 |
广群, 半广群, 半群, 群(被视作范畴)[参见20Axx, 20L05, 20Mxx] |
Groupoids, semigroupoids, semigroups, groups (viewed as categories) [See also 20Axx, 20L05, 20Mxx] |
||
|
18B99 |
其它 |
None of the above, but in this section |
||
|
18Cxx |
范畴与理论 |
Categories and theories |
||
|
18C05 |
等价范畴[参见03C05, 08C05] |
Equational categories [See also 03C05, 08C05] |
||
|
18C10 |
理论(例如: 代数理论), 结构和语义学[参见03G30] |
Theories (e.g. algebraic theories), structure, and semantics [See also 03G30] |
||
|
18C15 |
三元组(=标准构造, 一元或三元组), 三元组代数, 同调与三元组导出函子[参见18Gxx] |
Triples (= standard construction, monad or triad), algebras for a triple, homology and derived functors for triples [See also 18Gxx] |
||
|
18C20 |
与一元组相伴的代数和Kleisli范畴 |
Algebras and Kleisli categories associated with monads |
||
|
18C30 |
梗概及其推广 |
Sketches and generalizations |
||
|
18C35 |
可达和局部有规矩范畴 |
Accessible and locally presentable categories |
||
|
18C50 |
形式语言的范畴语义学[参见68Q55, 68Q65] |
Categorical semantics of formal languages [See also 68Q55, 68Q65] |
||
|
18C99 |
其它 |
None of the above, but in this section |
||
|
18Dxx |
有结构的范畴 |
Categories with structure |
||
|
18D05 |
双重范畴, 2范畴, 双范畴及其推广 |
Double categories, 2-categories, bicategories and generalizations |
||
|
18D10 |
单项范畴(=乘法范畴), 对称单项范畴, 辫范畴[参见19D23] |
Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23] |
||
|
18D15 |
闭范畴(闭单项范畴和Descartes闭范畴等) |
Closed categories (closed monoidal and Cartesian closed categories, etc.) |
||
|
18D20 |
浓缩范畴(闭范畴或单项范畴之上) |
Enriched categories (over closed or monoidal categories) |
||
|
18D25 |
强函子, 强附加 |
Strong functors, strong adjunctions |
||
|
18D30 |
纤维范畴 |
Fibered categories |
||
|
18D35 |
范畴中的结构化对象(群对象等) |
Structured objects in a category (group objects, etc.) |
||
|
18D50 |
Operads[参见55P48] |
Operads [See also 55P48] |
||
|
18D99 |
其它 |
None of the above, but in this section |
||
|
18Exx |
Abel范畴 |
Abelian categories |
||
|
18E05 |
预加性范畴, 加法范畴 |
Preadditive, additive categories |
||
|
18E10 |
正合范畴, Abel范畴 |
Exact categories, abelian categories |
||
|
18E15 |
Grothendieck范畴 |
Grothendieck categories |
||
|
18E20 |
嵌入定理[参见18B15] |
Embedding theorems [See also 18B15] |
||
|
18E25 |
导出函子和卫星 |
Derived functors and satellites |
||
|
18E30 |
导出范畴, 三角范畴 |
Derived categories, triangulated categories |
||
|
18E35 |
范畴的局部化 |
Localization of categories |
||
|
18E40 |
挠理论, 根[参见13D30, 16S90] |
Torsion theories, radicals [See also 13D30, 16S90] |
||
|
18E99 |
其它 |
None of the above, but in this section |
||
|
18Fxx |
范畴与几何 |
Categories and geometry |
||
|
18F05 |
局部范畴与函子 |
Local categories and functors |
||
|
18F10 |
Grothendieck拓扑[参见14F20] |
Grothendieck topologies [See also 14F20] |
||
|
18F15 |
抽象流形与纤维丛[参见55Rxx, 57Pxx] |
Abstract manifolds and fiber bundles [See also 55Rxx, 57Pxx] |
||
|
18F20 |
预层和层[参见14F05, 32C35, 32L10, 54B40, 55N30] |
Presheaves and sheaves [See also 14F05, 32C35, 32L10, 54B40, 55N30] |
||
|
18F25 |
代数K-理论与L-理论[参见11Exx, 11R70, 11S70, 12-XX, 13D15, 14Cxx, 16E20, 19-XX, 46L80, 57R65, 57R67] |
Algebraic K-theory and L-theory [See also 11Exx, 11R70, 11S70, 12-XX, 13D15, 14Cxx, 16E20, 19-XX, 46L80, 57R65, 57R67] |
||
|
18F30 |
Grothendieck群[参见13D15, 16E20, 19Axx] |
Grothendieck groups [See also 13D15, 16E20, 19Axx] |
||
|
18F99 |
其它 |
None of the above, but in this section |
||
|
18Gxx |
同调代数[参见13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx] |
Homological algebra [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx] |
||
|
18G05 |
射影与内射[参见13C10, 13C11, 16D40, 16D50] |
Projectives and injectives [See also 13C10, 13C11, 16D40, 16D50] |
||
|
18G10 |
预解; 导出函子[参见13D02, 16E05, 18E25] |
Resolutions; derived functors [See also 13D02, 16E05, 18E25] |
||
|
18G15 |
Ext与Tor, 推广, Künneth公式[参见55U25] |
Ext and Tor, generalizations, Künneth formula [See also 55U25] |
||
|
18G20 |
同调维数[参见13D05, 16E10] |
Homological dimension [See also 13D05, 16E10] |
||
|
18G25 |
相关同调代数, 射影类 |
Relative homological algebra, projective classes |
||
|
18G30 |
单纯集, 单纯对象(在一个范畴中)[参见55U10] |
Simplicial sets, simplicial objects (in a category) [See also 55U10] |
||
|
18G35 |
链复形[参见18E30, 55U15] |
Chain complexes [See also 18E30, 55U15] |
||
|
18G40 |
谱序列, 超上同调[参见55Txx] |
Spectral sequences, hypercohomology [See also 55Txx] |
||
|
18G50 |
非Abel同调代数 |
Nonabelian homological algebra |
||
|
18G55 |
同伦代数 |
Homotopical algebra |
||
|
18G60 |
其它(上)同调理论[参见19D55, 46L80, 58J20, 58J22] |
Other (co)homology theories [See also 19D55, 46L80, 58J20, 58J22] |
||
|
18G99 |
其它 |
None of the above, but in this section |
||
|
19-XX |
K-理论[参见16E20, 18F25] |
K-theory [See also 16E20, 18F25] |
||
|
19-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
19-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
19-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
19-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
19-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
19-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
19Axx |
Grothendieck群和K0[参见13D15, 18F30] |
Grothendieck groups and K0 [See also 13D15, 18F30] |
||
|
19A13 |
射影模的稳定性[参见13C10] |
Stability for projective modules [See also 13C10] |
||
|
19A15 |
有效生成 |
Efficient generation |
||
|
19A22 |
Frobenius归纳法, Burnside环与表示环 |
Frobenius induction, Burnside and representation rings |
||
|
19A31 |
群环和整环的K0 |
K0 of group rings and orders |
||
|
19A49 |
其它环的K0 |
K0 of other rings |
||
|
19A99 |
其它 |
None of the above, but in this section |
||
|
19Bxx |
Whitehead群和K1 |
Whitehead groups and K1 |
||
|
19B10 |
稳定区域条件 |
Stable range conditions |
||
|
19B14 |
线性群的稳定性 |
Stability for linear groups |
||
|
19B28 |
群环和整环的K1[参见57Q10] |
K1 of group rings and orders [See also 57Q10] |
||
|
19B37 |
同余子群问题[参见20H05] |
Congruence subgroup problems [See also 20H05] |
||
|
19B99 |
其它 |
None of the above, but in this section |
||
|
19Cxx |
Steinberg群和K2 |
Steinberg groups and K2 |
||
|
19C09 |
中心扩张与Schur乘子 |
Central extensions and Schur multipliers |
||
|
19C20 |
K2的符号, 表达式和稳定性 |
Symbols, presentations and stability of K2 |
||
|
19C30 |
K2和Brauer群 |
K2 and the Brauer group |
||
|
19C40 |
K2的分割 |
Excision for K2 |
||
|
19C99 |
其它 |
None of the above, but in this section |
||
|
19Dxx |
高等代数K-理论 |
Higher algebraic K-theory |
||
|
19D06 |
Q-构造和附加构造 |
Q- and plus-constructions |
||
|
19D10 |
空间的代数K-理论 |
Algebraic K-theory of spaces |
||
|
19D23 |
对称单项范畴[参见18D10] |
Symmetric monoidal categories [See also 18D10] |
||
|
19D25 |
Karoubi-Villamayor-Gersten K-理论 |
Karoubi-Villamayor-Gersten K-theory |
||
|
19D35 |
负K-理论, NK与幂零 |
Negative K-theory, NK and Nil |
||
|
19D45 |
高等符号, Milnor K-理论 |
Higher symbols, Milnor K-theory |
||
|
19D50 |
环的高等K-理论的计算[参见13D15, 16E20] |
Computations of higher K-theory of rings [See also 13D15, 16E20] |
||
|
19D55 |
K-理论与同调; 循环同调与上同调[参见18G60] |
K-theory and homology; cyclic homology and cohomology [See also 18G60] |
||
|
19D99 |
其它 |
None of the above, but in this section |
||
|
19Exx |
几何中的K-理论 |
K-theory in geometry |
||
|
19E08 |
概型的K-理论[参见14C35] |
K-theory of schemes [See also 14C35] |
||
|
19E15 |
代数闭链和主上同调[参见14C25, 14C35] |
Algebraic cycles and motivic cohomology [See also 14C25, 14C35] |
||
|
19E20 |
与上同调理论的关系[参见14Fxx] |
Relations with cohomology theories [See also 14Fxx] |
||
|
19E99 |
其它 |
None of the above, but in this section |
||
|
19Fxx |
数论中的K-理论[参见11R70, 11S70] |
K-theory in number theory [See also 11R70, 11S70] |
||
|
19F05 |
一般类域理论[参见11G45] |
Generalized class field theory [See also 11G45] |
||
|
19F15 |
符号与算术[参见11R37] |
Symbols and arithmetic [See also 11R37] |
||
|
19F27 |
Étale上同调, 高等调节器, ζ函数和L-函数[参见11G40, 11R42, 11S40, 14F20, 14G10] |
Étale cohomology, higher regulators, zeta and L-functions [See also 11G40, 11R42, 11S40, 14F20, 14G10] |
||
|
19F99 |
其它 |
None of the above, but in this section |
||
|
19Gxx |
型的K-理论[参见11Exx] |
K-theory of forms [See also 11Exx] |
||
|
19G05 |
二次模的稳定性 |
Stability for quadratic modules |
||
|
19G12 |
环的Witt群[参见11E81] |
Witt groups of rings [See also 11E81] |
||
|
19G24 |
群环的L-理论[参见11E81] |
L-theory of group rings [See also 11E81] |
||
|
19G38 |
Hermite K-理论, 与环的K-理论的关系 |
Hermitian K-theory, relations with K-theory of rings |
||
|
19G99 |
其它 |
None of the above, but in this section |
||
|
19Jxx |
来自拓扑的障碍 |
Obstructions from topology |
||
|
19J05 |
K0中的有限性和其它障碍 |
Finiteness and other obstructions in K0 |
||
|
19J10 |
Whitehead(和有关的)挠 |
Whitehead (and related) torsion |
||
|
19J25 |
换球术障碍[参见57R67] |
Surgery obstructions [See also 57R67] |
||
|
19J35 |
群作用的障碍 |
Obstructions to group actions |
||
|
19J99 |
其它 |
None of the above, but in this section |
||
|
19Kxx |
K-理论与算子代数[主要见46L80, 46M20] |
K-theory and operator algebras [See mainly 46L80, and also 46M20] |
||
|
19K14 |
作为有序群的K0, 迹 |
K0 as an ordered group, traces |
||
|
19K33 |
EXT与K-同调[参见55N22] |
EXT and K-homology [See also 55N22] |
||
|
19K35 |
Kasparov(KK-理论)[参见58J22] |
Kasparov theory (KK-theory) [See also 58J22] |
||
|
19K56 |
指标理论[参见58J20, 58J22] |
Index theory [See also 58J20, 58J22] |
||
|
19K99 |
其它 |
None of the above, but in this section |
||
|
19Lxx |
拓扑K-理论[参见55N15, 55R50, 55S25] |
Topological K-theory [See also 55N15, 55R50, 55S25] |
||
|
19L10 |
Riemann-Roch定理, Chern特征标 |
Riemann-Roch theorems, Chern characters |
||
|
19L20 |
J-同态, Adams运算[参见55Q50] |
J-homomorphism, Adams operations [See also 55Q50] |
||
|
19L41 |
连通K-理论, 配边[参见55N22] |
Connective K-theory, cobordism [See also 55N22] |
||
|
19L47 |
等变K-理论[参见55N91, 55P91, 55Q91, 55R91, 55S91] |
Equivariant K-theory [See also 55N91, 55P91, 55Q91, 55R91, 55S91] |
||
|
19L50 |
扭K-理论;微分K-理论 |
Twisted K-theory; differential K-theory |
||
|
19L64 |
计算, 几何应用 |
Computations, geometric applications |
||
|
19L99 |
其它 |
None of the above, but in this section |
||
|
19Mxx |
K-理论的各种应用 |
Miscellaneous applications of K-theory |
||
|
19M05 |
K-理论的各种应用 |
Miscellaneous applications of K-theory |
||
|
19M99 |
其它 |
None of the above, but in this section |
||
|
20-XX |
群论及其推广 |
Group theory and generalizations |
||
|
20-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
20-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
20-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
20-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
20-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
20-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
20Axx |
基础 |
Foundations |
||
|
20A05 |
公理系统与基本性质 |
Axiomatics and elementary properties |
||
|
20A10 |
元数学的考虑(字问题, 见20F10) |
Metamathematical considerations (For word problems, see 20F10) |
||
|
20A15 |
逻辑在群论中的应用 |
Applications of logic to group theory |
||
|
20A99 |
其它 |
None of the above, but in this section |
||
|
20Bxx |
置换群 |
Permutation groups |
||
|
20B05 |
有限群的一般理论 |
General theory for finite groups |
||
|
20B07 |
无限群的一般理论 |
General theory for infinite groups |
||
|
20B10 |
特征定理 |
Characterization theorems |
||
|
20B15 |
本原群 |
Primitive groups |
||
|
20B20 |
多重可迁有限群 |
Multiply transitive finite groups |
||
|
20B22 |
多重可迁无限群 |
Multiply transitive infinite groups |
||
|
20B25 |
代数, 几何或组合结构的有限自同构群[参见05Bxx, 12F10, 20G40, 20H30, 51-XX] |
Finite automorphism groups of algebraic, geometric, or combinatorial structures [See also 05Bxx, 12F10, 20G40, 20H30, 51-XX] |
||
|
20B27 |
无限自同构群[参见12F10] |
Infinite automorphism groups [See also 12F10] |
||
|
20B30 |
对称群 |
Symmetric groups |
||
|
20B35 |
对称群的子群 |
Subgroups of symmetric groups |
||
|
20B40 |
计算方法 |
Computational methods |
||
|
20B99 |
其它 |
None of the above, but in this section |
||
|
20Cxx |
群表示理论[参见19A22(表示环和Burnside环)] |
Representation theory of groups [See also 19A22 (for representation rings and Burnside rings)] |
||
|
20C05 |
有限群的群环及其模[参见16S34] |
Group rings of finite groups and their modules [See also 16S34] |
||
|
20C07 |
无限群的群环及其模[参见16S34] |
Group rings of infinite groups and their modules [See also 16S34] |
||
|
20C08 |
Hecke代数及其表示 |
Hecke algebras and their representations |
||
|
20C10 |
有限群的整数表示 |
Integral representations of finite groups |
||
|
20C11 |
有限群的p-进表示 |
p-adic representations of finite groups |
||
|
20C12 |
无限群的整数表示 |
Integral representations of infinite groups |
||
|
20C15 |
一般表示与特征标 |
Ordinary representations and characters |
||
|
20C20 |
模表示与特征标 |
Modular representations and characters |
||
|
20C25 |
射影表示与乘子 |
Projective representations and multipliers |
||
|
20C30 |
有限对称群的表示 |
Representations of finite symmetric groups |
||
|
20C32 |
无限对称群的表示 |
Representations of infinite symmetric groups |
||
|
20C33 |
有限Lie型群的表示 |
Representations of finite groups of Lie type |
||
|
20C34 |
散在群的表示 |
Representations of sporadic groups |
||
|
20C35 |
群表示理论在物理中的应用 |
Applications of group representations to physics |
||
|
20C40 |
计算方法 |
Computational methods |
||
|
20C99 |
其它 |
None of the above, but in this section |
||
|
20Dxx |
抽象有限群 |
Abstract finite groups |
||
|
20D05 |
有限单群及其分类 |
Finite simple groups and their classification |
||
|
20D06 |
单群: 交错群和Lie型群[参见20Gxx] |
Simple groups: alternating groups and groups of Lie type [See also 20Gxx] |
||
|
20D08 |
单群: 分散群(零星群) |
Simple groups: sporadic groups |
||
|
20D10 |
可解群, 形成理论, Schunck类, Fitting类, π-长度, 秩[参见20F17] |
Solvable groups, theory of formations, Schunck classes, Fitting classes, π-length, ranks [See also 20F17] |
||
|
20D15 |
幂零群, p-群 |
Nilpotent groups, p-groups |
||
|
20D20 |
Sylow群, Sylow性质, π群, π结构 |
Sylow subgroups, Sylow properties, π-groups, π-structure |
||
|
20D25 |
特殊子群(Frattini、Fitting等) |
Special subgroups (Frattini, Fitting, etc.) |
||
|
20D30 |
子群的列和格 |
Series and lattices of subgroups |
||
|
20D35 |
次正规子群 |
Subnormal subgroups |
||
|
20D40 |
子群的积 |
Products of subgroups |
||
|
20D45 |
自同构 |
Automorphisms |
||
|
20D60 |
算术与组合问题 |
Arithmetic and combinatorial problems |
||
|
20D99 |
其它 |
None of the above, but in this section |
||
|
20Exx |
无限群或有限群的结构与分类 |
Structure and classification of infinite or finite groups |
||
|
20E05 |
自由非Abel群 |
Free nonabelian groups |
||
|
20E06 |
自由积, 有融合的自由积, Higman-Neumann-Neumann扩张及其推广 |
Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations |
||
|
20E07 |
子群定理; 子群增长性 |
Subgroup theorems; subgroup growth |
||
|
20E08 |
作用于树上的群[参见20F65] |
Groups acting on trees [See also 20F65] |
||
|
20E10 |
群的拟簇和簇 |
Quasivarieties and varieties of groups |
||
|
20E15 |
子群的链与格, 次正规子群[参见20F22] |
Chains and lattices of subgroups, subnormal subgroups [See also 20F22] |
||
|
20E18 |
极限, 投射有限群 |
Limits, profinite groups |
||
|
20E22 |
扩张, 环积与其它合成[参见20J05] |
Extensions, wreath products, and other compositions [See also 20J05] |
||
|
20E25 |
局部性质 |
Local properties |
||
|
20E26 |
剩余性质及其推广; 剩余有限群 |
Residual properties and generalizations; residually finite groups |
||
|
20E28 |
极大子群 |
Maximal subgroups |
||
|
20E32 |
单群[参见20D05] |
Simple groups [See also 20D05] |
||
|
20E34 |
一般结构定理 |
General structure theorems |
||
|
20E36 |
无限群的自同构(有限群的自同构, 见20D45) |
Automorphisms of infinite groups (For automorphisms of finite groups, see 20D45) |
||
|
20E42 |
带BN对的群; 造型[参见51E24] |
Groups with a BN-pair; buildings [See also 51E24] |
||
|
20E45 |
共轭类 |
Conjugacy classes |
||
|
20E99 |
其它 |
None of the above, but in this section |
||
|
20Fxx |
无限或有限群的特殊方面 |
Special aspects of infinite or finite groups |
||
|
20F05 |
生成元, 关系和预命题 |
Generators, relations, and presentations |
||
|
20F06 |
消去理论; van Kampen图表的应用[参见57M05] |
Cancellation theory; application of van Kampen diagrams [See also 57M05] |
||
|
20F10 |
字问题, 其它判定问题, 与逻辑和自动机的关系[参见03B25, 03D05, 03D40, 06B25, 08A50, 68Q70] |
Word problems, other decision problems, connections with logic and automata [See also 03B25, 03D05, 03D40, 06B25, 08A50, 68Q70] |
||
|
20F11 |
有限Morley秩的群[参见03C45, 03C60] |
Groups of finite Morley rank [See also 03C45, 03C60] |
||
|
20F12 |
换位子演算 |
Commutator calculus |
||
|
20F14 |
导出列, 中心列及其推广 |
Derived series, central series, and generalizations |
||
|
20F16 |
可解群, 超可解群[参见20D10] |
Solvable groups, supersolvable groups [See also 20D10] |
||
|
20F17 |
群的形成, Fitting类[参见20D10] |
Formations of groups, Fitting classes [See also 20D10] |
||
|
20F18 |
幂零群[参见20D15] |
Nilpotent groups [See also 20D15] |
||
|
20F19 |
可解群与幂零群的推广 |
Generalizations of solvable and nilpotent groups |
||
|
20F22 |
用子群链定义的其它群类 |
Other classes of groups defined by subgroup chains |
||
|
20F24 |
FC-群及其推广 |
FC-groups and their generalizations |
||
|
20F28 |
群的自同构群[参见20E36] |
Automorphism groups of groups [See also 20E36] |
||
|
20F29 |
作为代数系统自同构群的群表示 |
Representations of groups as automorphism groups of algebraic systems |
||
|
20F34 |
基本群及其自同构[参见57M05, 57Sxx] |
Fundamental groups and their automorphisms [See also 57M05, 57Sxx] |
||
|
20F36 |
辫群; Artin群 |
Braid groups; Artin groups |
||
|
20F38 |
与拓扑或分析有关的其它群 |
Other groups related to topology or analysis |
||
|
20F40 |
结合Lie结构 |
Associated Lie structures |
||
|
20F45 |
Engel条件 |
Engel conditions |
||
|
20F50 |
周期群; 局部有限群 |
Periodic groups; locally finite groups |
||
|
20F55 |
反射群和Coxeter群[参见22E40, 51F15] |
Reflection and Coxeter groups [See also 22E40, 51F15] |
||
|
20F60 |
有序群[主要见06F15] |
Ordered groups [See mainly 06F15] |
||
|
20F65 |
几何群论[参见05C25, 20E08, 57Mxx] |
Geometric group theory [See also 05C25, 20E08, 57Mxx] |
||
|
20F67 |
双曲群和非正曲线群 |
Hyperbolic groups and nonpositively curved groups |
||
|
20F69 |
群的渐近性质 |
Asymptotic properties of groups |
||
|
20F70 |
群上的代数几何; 群上方程 |
Algebraic geometry over groups; equations over groups |
||
|
20F99 |
其它 |
None of the above, but in this section |
||
|
20Gxx |
线性代数群及相关课题(算术理论, 见11E57, 11H56; 几何理论, 见14Lxx, 22Exx; 表示论中的其它方法, 见15A30, 22E45, 22E46, 22E47, 22E50, 22E55) |
Linear algebraic groups and related topics (For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation theory, see 15A30, 22E45, 22E46, 22E47, 22E50, 22E55) |
||
|
20G05 |
表示理论 |
Representation theory |
||
|
20G07 |
结构理论 |
Structure theory |
||
|
20G10 |
上同调论 |
Cohomology theory |
||
|
20G15 |
任意域上的线性代数群 |
Linear algebraic groups over arbitrary fields |
||
|
20G20 |
实数, 复数和四元数体上的线性代数群 |
Linear algebraic groups over the reals, the complexes, the quaternions |
||
|
20G25 |
局部域上的线性代数群及其整群 |
Linear algebraic groups over local fields and their integers |
||
|
20G30 |
整体域上的线性代数群及其整群 |
Linear algebraic groups over global fields and their integers |
||
|
20G35 |
赋值向量环和其它环及概型上的线性代数群 |
Linear algebraic groups over adèles and other rings and schemes |
||
|
20G40 |
有限域上的线性代数群 |
Linear algebraic groups over finite fields |
||
|
20G41 |
例外群 |
Exceptional groups |
||
|
20G42 |
量子群(量子函数代数)及其表示[参见16T20, 17B37, 81R50] |
Quantum groups (quantized function algebras) and their representations [See also 16T20, 17B37, 81R50] |
||
|
20G43 |
Schur和q-Schur代数 |
Schur and q-Schur algebras |
||
|
20G44 |
Kac-Moody群 |
Kac-Moody groups |
||
|
20G45 |
物理上的应用 |
Applications to physics |
||
|
20G99 |
其它 |
None of the above, but in this section |
||
|
20Hxx |
其它矩阵群[参见15A30] |
Other groups of matrices [See also 15A30] |
||
|
20H05 |
么模群, 同余子群[参见11F06, 19B37, 22E40, 51F20] |
Unimodular groups, congruence subgroups [See also 11F06, 19B37, 22E40, 51F20] |
||
|
20H10 |
Fuchs群及其推广[参见11F06, 22E40, 30F35, 32Nxx] |
Fuchsian groups and their generalizations [See also 11F06, 22E40, 30F35, 32Nxx] |
||
|
20H15 |
其它几何群, 包括结晶体群[参见51-XX, 特别是51F15和82D25] |
Other geometric groups, including crystallographic groups [See also 51-XX, especially 51F15, and 82D25] |
||
|
20H20 |
域上的其它矩阵群 |
Other matrix groups over fields |
||
|
20H25 |
环上的其它矩阵群 |
Other matrix groups over rings |
||
|
20H30 |
有限域上的其它矩阵群 |
Other matrix groups over finite fields |
||
|
20H99 |
其它 |
None of the above, but in this section |
||
|
20Jxx |
与同调代数和范畴论的联系 |
Connections with homological algebra and category theory |
||
|
20J05 |
群论中的同调方法 |
Homological methods in group theory |
||
|
20J06 |
群的上同调 |
Cohomology of groups |
||
|
20J15 |
群的范畴 |
Category of groups |
||
|
20J99 |
其它 |
None of the above, but in this section |
||
|
20Kxx |
Abel群 |
Abelian groups |
||
|
20K01 |
有限Abel群[和集, 见11B13和11P70] |
Finite abelian groups [For sumsets, see 11B13 and 11P70] |
||
|
20K10 |
挠群, 准素群及其广义准素群 |
Torsion groups, primary groups and generalized primary groups |
||
|
20K15 |
无挠群, 有限秩 |
Torsion-free groups, finite rank |
||
|
20K20 |
无挠群, 无限秩 |
Torsion-free groups, infinite rank |
||
|
20K21 |
混合群 |
Mixed groups |
||
|
20K25 |
直和、直积等 |
Direct sums, direct products, etc. |
||
|
20K27 |
子群 |
Subgroups |
||
|
20K30 |
自同构、同态、自同态等 |
Automorphisms, homomorphisms, endomorphisms, etc. |
||
|
20K35 |
扩张 |
Extensions |
||
|
20K40 |
同调方法与范畴方法 |
Homological and categorical methods |
||
|
20K45 |
拓扑方法[参见22A05, 22B05] |
Topological methods [See also 22A05, 22B05] |
||
|
20K99 |
其它 |
None of the above, but in this section |
||
|
20Lxx |
广群(比如: 所有态射是同构的小范畴)(具有单个二元运算的集合, 见20N02; 拓扑广群, 见22A22, 58H05) |
Groupoids (i.e. small categories in which all morphisms are isomorphisms) (For sets with a single binary operation, see 20N02; for topological groupoids, see 22A22, 58H05) |
||
|
20L05 |
广群(比如: 所有态射是同构的小范畴)(具有单个二元运算的集合, 见20N02; 拓扑广群, 见22A22, 58H05) |
Groupoids (i.e. small categories in which all morphisms are isomorphisms)(For sets with a single binary operation, see 20N02; for topological groupoids, see 22A22, 58H05) |
||
|
20L99 |
其它 |
None of the above, but in this section |
||
|
20Mxx |
半群 |
Semigroups |
||
|
20M05 |
自由半群, 生成元和关系, 字问题 |
Free semigroups, generators and relations, word problems |
||
|
20M07 |
半群的簇和伪簇 |
Varieties and pseudovarieties of semigroups |
||
|
20M10 |
一般结构理论 |
General structure theory |
||
|
20M11 |
根理论 |
Radical theory |
||
|
20M12 |
理想理论 |
Ideal theory |
||
|
20M13 |
幺半群的算术理论 |
Arithmetic theory of monoids |
||
|
20M14 |
交换半群 |
Commutative semigroups |
||
|
20M15 |
半群的映射 |
Mappings of semigroups |
||
|
20M17 |
正则半群 |
Regular semigroups |
||
|
20M18 |
逆半群 |
Inverse semigroups |
||
|
20M19 |
纯正半群 |
Orthodox semigroups |
||
|
20M20 |
变换半群等[参见47D03, 47H20, 54H15] |
Semigroups of transformations, etc. [See also 47D03, 47H20, 54H15] |
||
|
20M25 |
半群环, 环的乘法半群[参见16S36, 16Y60] |
Semigroup rings, multiplicative semigroups of rings [See also 16S36, 16Y60] |
||
|
20M30 |
半群的表示; 集上半群的作用 |
Representation of semigroups; actions of semigroups on sets |
||
|
20M32 |
代数幺半群 |
Algebraic monoids |
||
|
20M35 |
自动机理论中的半群、语言学等[参见03D05, 68Q70, 68T50] |
Semigroups in automata theory, linguistics, etc. [See also 03D05, 68Q70, 68T50] |
||
|
20M50 |
半群与同调代数和范畴论的联系 |
Connections of semigroups with homological algebra and category theory |
||
|
20M99 |
其它 |
None of the above, but in this section |
||
|
20Nxx |
群的其它推广 |
Other generalizations of groups |
||
|
20N02 |
具有单个二元运算的集合(广群) |
Sets with a single binary operation (groupoids) |
||
|
20N05 |
圈, 拟群[参见05Bxx] |
Loops, quasigroups [See also 05Bxx] |
||
|
20N10 |
三元系(堆、半堆、广堆等) |
Ternary systems (heaps, semiheaps, heapoids, etc.) |
||
|
20N15 |
n-元系(n≥3) |
n-ary systems (n≥3) |
||
|
20N20 |
超群 |
Hypergroups |
||
|
20N25 |
模糊群[参见03E72] |
Fuzzy groups [See also 03E72] |
||
|
20N99 |
其它 |
None of the above, but in this section |
||
|
20Pxx |
群论中的概率方法[参见60Bxx] |
Probabilistic methods in group theory [See also 60Bxx] |
||
|
20P05 |
群论中的概率方法[参见60Bxx] |
Probabilistic methods in group theory [See also 60Bxx] |
||
|
20P99 |
其它 |
None of the above, but in this section |
||
|
22-XX |
拓扑群, Lie群(变换群, 见54H15, 57Sxx, 58-XX; 抽象调和分析, 见43-XX) |
Topological groups, Lie groups (For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX) |
||
|
22-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
22-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
22-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
22-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
22-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
22-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
22Axx |
拓扑与微分代数系统(拓扑环和域, 见12Jxx, 13Jxx, 16W80) |
Topological and differentiable algebraic systems (For topological rings and fields, see 12Jxx, 13Jxx, 16W80) |
||
|
22A05 |
一般拓扑群的结构 |
Structure of general topological groups |
||
|
22A10 |
一般拓扑群上的分析 |
Analysis on general topological groups |
||
|
22A15 |
拓扑半群的结构 |
Structure of topological semigroups |
||
|
22A20 |
拓扑半群上的分析 |
Analysis on topological semigroups |
||
|
22A22 |
拓扑广群(包括可微广群和Lie广群)[参见58H05] |
Topological groupoids (including differentiable and Lie groupoids) [See also 58H05] |
||
|
22A25 |
一般拓扑群和拓扑半群的表示 |
Representations of general topological groups and semigroups |
||
|
22A26 |
拓扑半格, 拓扑格和应用[参见06B30, 06B35, 06F30] |
Topological semilattices, lattices and applications [See also 06B30, 06B35, 06F30] |
||
|
22A30 |
其它拓扑代数系统及其表示 |
Other topological algebraic systems and their representations |
||
|
22A99 |
其它 |
None of the above, but in this section |
||
|
22Bxx |
局部紧Abel群(LCA群) |
Locally compact abelian groups (LCA groups) |
||
|
22B05 |
LCA群的一般性质和结构 |
General properties and structure of LCA groups |
||
|
22B10 |
LCA群的群代数的结构 |
Structure of group algebras of LCA groups |
||
|
22B99 |
其它 |
None of the above, but in this section |
||
|
22Cxx |
紧群 |
Compact groups |
||
|
22C05 |
紧群 |
Compact groups |
||
|
22C99 |
其它 |
None of the above, but in this section |
||
|
22Dxx |
局部紧群及其代数 |
Locally compact groups and their algebras |
||
|
22D05 |
局部紧群的一般性质和结构 |
General properties and structure of locally compact groups |
||
|
22D10 |
局部紧群的酉表示 |
Unitary representations of locally compact groups |
||
|
22D12 |
局部紧群的其它表示 |
Other representations of locally compact groups |
||
|
22D15 |
局部紧群的群代数 |
Group algebras of locally compact groups |
||
|
22D20 |
群代数的表示 |
Representations of group algebras |
||
|
22D25 |
在群表示中的C*-代数和W*-代数[参见46Lxx] |
C*-algebras and W*-algebras in relation to group representations [See also 46Lxx] |
||
|
22D30 |
诱导表示 |
Induced representations |
||
|
22D35 |
对偶定理 |
Duality theorems |
||
|
22D40 |
群上的遍历理论[参见28Dxx] |
Ergodic theory on groups [See also 28Dxx] |
||
|
22D45 |
局部紧群的自同构群 |
Automorphism groups of locally compact groups |
||
|
22D99 |
其它 |
None of the above, but in this section |
||
|
22Exx |
Lie群(Lie群和齐性空间的拓扑, 见57Sxx, 57Txx; 分析方面, 见43A80, 43A85, 43A90) |
Lie groups (For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90) |
||
|
22E05 |
局部Lie群[参见34-XX, 35-XX, 58H05] |
Local Lie groups [See also 34-XX, 35-XX, 58H05] |
||
|
22E10 |
复Lie群的一般性质和结构[参见32M05] |
General properties and structure of complex Lie groups [See also 32M05] |
||
|
22E15 |
实Lie群的一般性质和结构 |
General properties and structure of real Lie groups |
||
|
22E20 |
其它Lie群的一般性质和结构 |
General properties and structure of other Lie groups |
||
|
22E25 |
幂零Lie群与可解Lie群 |
Nilpotent and solvable Lie groups |
||
|
22E27 |
幂零Lie群与可解Lie群的表示(特殊轨道积分、非I型表示等) |
Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) |
||
|
22E30 |
实Lie群与复Lie群上的分析[参见33C80, 43-XX] |
Analysis on real and complex Lie groups [See also 33C80, 43-XX] |
||
|
22E35 |
p-进Lie群上的分析 |
Analysis on p-adic Lie groups |
||
|
22E40 |
Lie群的离散子群[参见20Hxx, 32Nxx] |
Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx] |
||
|
22E41 |
连续上同调[参见57R32, 57Txx, 58H10] |
Continuous cohomology [See also 57R32, 57Txx, 58H10] |
||
|
22E43 |
Lorentz群的结构与表示 |
Structure and representation of the Lorentz group |
||
|
22E45 |
实域上Lie群与线性代数群的表示:解析方法[纯代数理论, 见20G05] |
Representations of Lie and linear algebraic groups over real fields: analytic methods (For the purely algebraic theory, see 20G05) |
||
|
22E46 |
半单Lie群及其表示 |
Semisimple Lie groups and their representations |
||
|
22E47 |
Lie群和实代数群的表示: 代数方法(Verma模等)[参见17B10] |
Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) [See also 17B10] |
||
|
22E50 |
局部域上Lie群和线性代数群的表示[参见20G05] |
Representations of Lie and linear algebraic groups over local fields [See also 20G05] |
||
|
22E55 |
整体域和赋值向量环上的Lie群和线性代数群的表示[参见20G05] |
Representations of Lie and linear algebraic groups over global fields and adèle rings [See also 20G05] |
||
|
22E57 |
几何Langlands程序:表示理论方面[参见14D24] |
Geometric Langlands program: representation theoretic aspects [See also 14D24] |
||
|
22E60 |
Lie群的Lie代数(Lie代数的代数理论, 见17Bxx) |
Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx) |
||
|
22E65 |
无限维Lie群及其Lie代数; 一般性质[参见17B65, 58B25, 58H05] |
Infinite-dimensional Lie groups and their Lie algebras; general properties [See also 17B65, 58B25, 58H05] |
||
|
22E66 |
无限维Lie群的分析和表示 |
Analysis on and representations of infinite-dimensional Lie groups |
||
|
22E67 |
圈群及有关构造, 群论处理[参见58D05] |
Loop groups and related constructions, group-theoretic treatment [See also 58D05] |
||
|
22E70 |
Lie群在物理上的应用; 显式表示[参见81R05, 81R10] |
Applications of Lie groups to physics; explicit representations [See also 81R05, 81R10] |
||
|
22E99 |
其它 |
None of the above, but in this section |
||
|
22Fxx |
非紧变换群 |
Noncompact transformation groups |
||
|
22F05 |
群和伪群作用的一般理论(具有作用空间的拓扑性质, 见57S20) |
General theory of group and pseudogroup actions (For topological properties of spaces with an action, see 57S20) |
||
|
22F10 |
可测群作用[参见22D40, 28Dxx, 37Axx] |
Measurable group actions [See also 22D40, 28Dxx, 37Axx] |
||
|
22F30 |
齐性空间(一般作用在流形或保几何结构, 见57M60, 57Sxx; Lie群的离散子群, 特别见22E40) |
Homogeneous spaces (For general actions on manifolds or preserving geometrical structures, see 57M60, 57Sxx; for discrete subgroups of Lie groups, see especially 22E40) |
||
|
22F50 |
作为其它结构自同构的群 |
Groups as automorphisms of other structures |
||
|
22F99 |
其它 |
None of the above, but in this section |
||
|
26-XX |
实函数[参见54C30] |
Real functions [See also 54C30] |
||
|
26-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
26-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
26-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
26-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
26-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
26-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
26Axx |
一元函数 |
Functions of one variable |
||
|
26A03 |
基础: 极限及其推广, 初等线拓扑 |
Foundations: limits and generalizations, elementary topology of the line |
||
|
26A06 |
一元微积分 |
One-variable calculus |
||
|
26A09 |
初等函数 |
Elementary functions |
||
|
26A12 |
函数增长率, 无穷阶, 慢变函数[参见26A48] |
Rate of growth of functions, orders of infinity, slowly varying functions [See also 26A48] |
||
|
26A15 |
连续性及有关问题(连续性模、半连续性模、间断模等)(由Fourier系数确定的性质, 见42A16; 由逼近性确定的性质, 见41A25, 41A27) |
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) (For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27) |
||
|
26A16 |
Lipschitz(Hölder)类 |
Lipschitz (Hölder) classes |
||
|
26A18 |
迭代[参见37Bxx, 37Cxx, 37Exx, 39B12, 47H10, 54H25] |
Iteration [See also 37Bxx, 37Cxx, 37Exx, 39B12, 47H10, 54H25] |
||
|
26A21 |
实函数分类; 集合与函数的Baire分类[参见03E15, 28A05, 54C50] |
Classification of real functions; Baire classification of sets and functions [See also 03E15, 28A05, 54C50] |
||
|
26A24 |
微分法(一元函数): 一般理论, 广义导数, 中值定理[参见28A15] |
Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems [See also 28A15] |
||
|
26A27 |
不可微性(不可微函数, 不可微点), 不连续导数 |
Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives |
||
|
26A30 |
奇异函数, Cantor函数, 具有其它特殊性质的函数 |
Singular functions, Cantor functions, functions with other special properties |
||
|
26A33 |
分数次导数和分数次积分 |
Fractional derivatives and integrals |
||
|
26A36 |
反微分法 |
Antidifferentiation |
||
|
26A39 |
Denjoy积分和Perron积分, 其它特殊积分 |
Denjoy and Perron integrals, other special integrals |
||
|
26A42 |
Riemann, Stieltjes和Lebesgue型积分[参见28-XX] |
Integrals of Riemann, Stieltjes and Lebesgue type [See also 28-XX] |
||
|
26A45 |
有界变差函数, 推广 |
Functions of bounded variation, generalizations |
||
|
26A46 |
绝对连续函数 |
Absolutely continuous functions |
||
|
26A48 |
单调函数, 推广 |
Monotonic functions, generalizations |
||
|
26A51 |
凸性, 推广 |
Convexity, generalizations |
||
|
26A99 |
其它 |
None of the above, but in this section |
||
|
26Bxx |
多元函数 |
Functions of several variables |
||
|
26B05 |
连续性和微分法问题 |
Continuity and differentiation questions |
||
|
26B10 |
隐函数定理, Jacobi行列式, 多元变换 |
Implicit function theorems, Jacobians, transformations with several variables |
||
|
26B12 |
向量函数的微积分 |
Calculus of vector functions |
||
|
26B15 |
积分法: 长度, 面积, 体积[参见28A75, 51M25] |
Integration: length, area, volume [See also 28A75, 51M25] |
||
|
26B20 |
积分公式(Stokes、Gauss、Green等) |
Integral formulas (Stokes, Gauss, Green, etc.) |
||
|
26B25 |
凸性, 推广 |
Convexity, generalizations |
||
|
26B30 |
绝对连续函数, 有界变差函数 |
Absolutely continuous functions, functions of bounded variation |
||
|
26B35 |
多元函数的特性、Hölder条件等 |
Special properties of functions of several variables, Hölder conditions, etc. |
||
|
26B40 |
函数的表示和叠加 |
Representation and superposition of functions |
||
|
26B99 |
其它 |
None of the above, but in this section |
||
|
26Cxx |
多项式, 有理函数 |
Polynomials, rational functions |
||
|
26C05 |
多项式: 解析性质等[参见12Dxx, 12Exx] |
Polynomials: analytic properties, etc. [See also 12Dxx, 12Exx] |
||
|
26C10 |
多项式: 零点位置[参见12D10, 30C15, 65H05] |
Polynomials: location of zeros [See also 12D10, 30C15, 65H05] |
||
|
26C15 |
有理函数[参见14Pxx] |
Rational functions [See also 14Pxx] |
||
|
26C99 |
其它 |
None of the above, but in this section |
||
|
26Dxx |
不等式(极大函数不等式, 见42B25; 泛函不等式, 见39B72; 概率不等式, 见60E15) |
Inequalities (For maximal function inequalities, see 42B25; for functional inequalities, see 39B72; for probabilistic inequalities, see 60E15) |
||
|
26D05 |
三角函数与多项式不等式 |
Inequalities for trigonometric functions and polynomials |
||
|
26D07 |
涉及其它类型函数的不等式 |
Inequalities involving other types of functions |
||
|
26D10 |
涉及求导、微分和积分算子的不等式 |
Inequalities involving derivatives and differential and integral operators |
||
|
26D15 |
和、级数和积分不等式 |
Inequalities for sums, series and integrals |
||
|
26D20 |
其它解析不等式 |
Other analytical inequalities |
||
|
26D99 |
其它 |
None of the above, but in this section |
||
|
26Exx |
杂题[参见58Cxx] |
Miscellaneous topics [See also 58Cxx] |
||
|
26E05 |
实解析函数[参见32B05, 32C05] |
Real-analytic functions [See also 32B05, 32C05] |
||
|
26E10 |
C∞-函数, 拟解析函数[参见58C25] |
C∞-functions, quasi-analytic functions [See also 58C25] |
||
|
26E15 |
无限维空间中函数的微积分[参见46G05, 58Cxx] |
Calculus of functions on infinite-dimensional spaces [See also 46G05, 58Cxx] |
||
|
26E20 |
在无限维空间中取值的函数的微积分[参见46E40, 46G10, 58Cxx] |
Calculus of functions taking values in infinite-dimensional spaces [See also 46E40, 46G10, 58Cxx] |
||
|
26E25 |
集值函数[参见28B20, 54C60](非光滑分析, 见49J52, 58Cxx, 90Cxx) |
Set-valued functions [See also 28B20, 54C60] (For nonsmooth analysis, see 49J52, 58Cxx, 90Cxx) |
||
|
26E30 |
非Archimedes分析[参见12J25] |
Non-Archimedean analysis [See also 12J25] |
||
|
26E35 |
非标准分析[参见03H05, 28E05, 54J05] |
Nonstandard analysis [See also 03H05, 28E05, 54J05] |
||
|
26E40 |
构造性实分析[参见03F60] |
Constructive real analysis [See also 03F60] |
||
|
26E50 |
模糊实分析[参见03E72, 28E10] |
Fuzzy real analysis [See also 03E72, 28E10] |
||
|
26E60 |
平均[参见47A64] |
Means [See also 47A64] |
||
|
26E70 |
时间尺度或测度链上的实分析 (时间尺度或测度链上的动力学方程, 见34N05) |
Real analysis on time scales or measure chains (For dynamic equations on time scales or measure chains see 34N05) |
||
|
26E99 |
其它 |
None of the above, but in this section |
||
|
28-XX |
测度与积分(流形上的分析, 见58-XX) |
Measure and integration (For analysis on manifolds, see 58-XX) |
||
|
28-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
28-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
28-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
28-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
28-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
28-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
28Axx |
经典测度论 |
Classical measure theory |
||
|
28A05 |
集合类(Borel域、σ-环等), 可测集, Suslin集, 解析集[参见03E15, 26A21, 54H05] |
Classes of sets (Borel fields, σ-rings, etc.), measurable sets, Suslin sets, analytic sets [See also 03E15, 26A21, 54H05] |
||
|
28A10 |
实值或复值集合函数 |
Real- or complex-valued set functions |
||
|
28A12 |
容度, 测度, 外测度, 容量 |
Contents, measures, outer measures, capacities |
||
|
28A15 |
抽象微分理论, 集合函数的微分法[参见26A24] |
Abstract differentiation theory, differentiation of set functions [See also 26A24] |
||
|
28A20 |
可测函数与不可测函数, 可测函数序列, 收敛方式 |
Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence |
||
|
28A25 |
关于测度及其它集合函数的积分法 |
Integration with respect to measures and other set functions |
||
|
28A33 |
测度空间, 测度的收敛性[参见46E27, 60Bxx] |
Spaces of measures, convergence of measures [See also 46E27, 60Bxx] |
||
|
28A35 |
积空间中的测度与积分 |
Measures and integrals in product spaces |
||
|
28A50 |
测度的积分法与测度的蜕变 |
Integration and disintegration of measures |
||
|
28A51 |
提升理论[参见46G15] |
Lifting theory [See also 46G15] |
||
|
28A60 |
Boole环上的测度, 测度代数[参见54H10] |
Measures on Boolean rings, measure algebras [See also 54H10] |
||
|
28A75 |
长度, 面积, 体积, 其它几何测度论[参见26B15, 49Q15] |
Length, area, volume, other geometric measure theory [See also 26B15, 49Q15] |
||
|
28A78 |
Hausdorff测度和填装测度 |
Hausdorff and packing measures |
||
|
28A80 |
分形[参见37Fxx] |
Fractals [See also 37Fxx] |
||
|
28A99 |
其它 |
None of the above, but in this section |
||
|
28Bxx |
抽象空间中取值的集函数、测度与积分 |
Set functions, measures and integrals with values in abstract spaces |
||
|
28B05 |
向量值集函数、测度与积分[参见46G10] |
Vector-valued set functions, measures and integrals [See also 46G10] |
||
|
28B10 |
群或半群值集函数、测度与积分 |
Group- or semigroup-valued set functions, measures and integrals |
||
|
28B15 |
在有序空间中取值的集函数、测度与积分 |
Set functions, measures and integrals with values in ordered spaces |
||
|
28B20 |
集值集函数与测度; 集值函数的积分法; 可测选择[参见26E25, 54C60, 54C65, 91B14] |
Set-valued set functions and measures; integration of set-valued functions; measurable selections [See also 26E25, 54C60, 54C65, 91B14] |
||
|
28B99 |
其它 |
None of the above, but in this section |
||
|
28Cxx |
附加结构空间上的集函数与测度[参见46G12, 58C35, 58D20] |
Set functions and measures on spaces with additional structure [See also 46G12, 58C35, 58D20] |
||
|
28C05 |
借助线性泛函的积分理论(Radon测度、Daniell积分等), 表示集函数与测度 |
Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures |
||
|
28C10 |
拓扑群或半群上的集函数与测度, Haar测度, 不变测度[参见22Axx, 43A05] |
Set functions and measures on topological groups or semigroup, Haar measures, invariant measures [See also 22Axx, 43A05] |
||
|
28C15 |
拓扑空间上的集函数与测度(测度的正则性等) |
Set functions and measures on topological spaces (regularity of measures, etc.) |
||
|
28C20 |
无限维空间中的集函数, 测度与积分(Wiener测度、Gauss测度等)[参见46G12, 58C35, 58D20, 60B11] |
Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) [See also 46G12, 58C35, 58D20, 60B11] |
||
|
28C99 |
其它 |
None of the above, but in this section |
||
|
28Dxx |
测度论的遍历理论[参见11K50, 11K55, 22D40, 37Axx, 47A35, 54H20, 60Fxx, 60G10] |
Measure-theoretic ergodic theory [See also 11K50, 11K55, 22D40, 37Axx, 47A35, 54H20, 60Fxx, 60G10] |
||
|
28D05 |
保测度变换 |
Measure-preserving transformations |
||
|
28D10 |
保测度变换的单参数连续族 |
One-parameter continuous families of measure-preserving transformations |
||
|
28D15 |
一般保测度变换群 |
General groups of measure-preserving transformations |
||
|
28D20 |
熵和其它不变量 |
Entropy and other invariants |
||
|
28D99 |
其它 |
None of the above, but in this section |
||
|
28Exx |
测度论中的杂题 |
Miscellaneous topics in measure theory |
||
|
28E05 |
非标准测度论[参见03H05, 26E35] |
Nonstandard measure theory [See also 03H05, 26E35] |
||
|
28E10 |
模糊测度论[参见03E72, 26E50, 94D05] |
Fuzzy measure theory [See also 03E72, 26E50, 94D05] |
||
|
28E15 |
与逻辑及集合论的其它联系 |
Other connections with logic and set theory |
||
|
28E99 |
其它 |
None of the above, but in this section |
||
|
30-XX |
单复变量函数(流形上的分析, 见58-XX) |
Functions of a complex variable (For analysis on manifolds, see 58-XX) |
||
|
30-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
30-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
30-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
30-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
30-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
30-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
30Axx |
一般性质 |
General properties |
||
|
30A05 |
复函数的单演性质(包括多因子单演函数和网状单演函数) |
Monogenic properties of complex functions (including polygenic and areolar monogenic functions) |
||
|
30A10 |
复域中的不等式 |
Inequalities in the complex domain |
||
|
30A99 |
其它 |
None of the above, but in this section |
||
|
30Bxx |
级数展开 |
Series expansions |
||
|
30B10 |
幂级数(包括缺项级数) |
Power series (including lacunary series) |
||
|
30B20 |
随机幂级数 |
Random power series |
||
|
30B30 |
幂级数的边界特性, 超收敛性 |
Boundary behavior of power series, over-convergence |
||
|
30B40 |
解析延拓 |
Analytic continuation |
||
|
30B50 |
Dirichlet级数与其它级数展开, 指数级数[参见11M41, 42-XX] |
Dirichlet series and other series expansions, exponential series [See also 11M41, 42-XX] |
||
|
30B60 |
完备性问题, 函数系统的闭包 |
Completeness problems, closure of a system of functions |
||
|
30B70 |
连分式[参见11A55, 40A15] |
Continued fractions [See also 11A55, 40A15] |
||
|
30B99 |
其它 |
None of the above, but in this section |
||
|
30Cxx |
几何函数论 |
Geometric function theory |
||
|
30C10 |
多项式 |
Polynomials |
||
|
30C15 |
多项式、有理函数及其它解析函数的零点(例如: 具有有界Dirichlet积分的函数的零点)(代数理论, 见12D10; 实方法, 见26C10) |
Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral) (For algebraic theory, see 12D10; for real methods, see 26C10) |
||
|
30C20 |
特殊域的共形映射 |
Conformal mappings of special domains |
||
|
30C25 |
共形映射理论中的覆盖定理 |
Covering theorems in conformal mapping theory |
||
|
30C30 |
共形映射理论中的数值方法[参见65E05] |
Numerical methods in conformal mapping theory [See also 65E05] |
||
|
30C35 |
共形映射的一般理论 |
General theory of conformal mappings |
||
|
30C40 |
核函数及其应用 |
Kernel functions and applications |
||
|
30C45 |
特殊单叶和多叶函数类(星形的、凸的、有界旋度等) |
Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.) |
||
|
30C50 |
单叶和多叶函数的系数问题 |
Coefficient problems for univalent and multivalent functions |
||
|
30C55 |
单叶和多叶函数的一般理论 |
General theory of univalent and multivalent functions |
||
|
30C62 |
平面中的拟共形映射 |
Quasiconformal mappings in the plane |
||
|
30C65 |
Rn中的拟共形映射, 其它推广 |
Quasiconformal mappings in Rn, other generalizations |
||
|
30C70 |
共形和拟共形映射的极值问题, 变分法 |
Extremal problems for conformal and quasiconformal mappings, variational methods |
||
|
30C75 |
共形和拟共形映射的极值问题, 其它方法 |
Extremal problems for conformal and quasiconformal mappings, other methods |
||
|
30C80 |
极大值原理; Schwarz引理, Lindelöf原理, 模拟和推广; 从属运算 |
Maximum principle; Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination |
||
|
30C85 |
复平面中的容量与调和测度[参见31A15] |
Capacity and harmonic measure in the complex plane [See also 31A15] |
||
|
30C99 |
其它 |
None of the above, but in this section |
||
|
30Dxx |
整函数与亚纯函数, 及相关论题 |
Entire and meromorphic functions, and related topics |
||
|
30D05 |
复域中的泛函方程, 解析函数的迭代与合成[参见34Mxx, 37Fxx, 39-XX] |
Functional equations in the complex domain, iteration and composition of analytic functions [See also 34Mxx, 37Fxx, 39-XX] |
||
|
30D10 |
整函数的级数与积分表示 |
Representations of entire functions by series and integrals |
||
|
30D15 |
特殊整函数类及其增长估计 |
Special classes of entire functions and growth estimates |
||
|
30D20 |
整函数, 一般理论 |
Entire functions, general theory |
||
|
30D30 |
亚纯函数, 一般理论 |
Meromorphic functions, general theory |
||
|
30D35 |
值分布, Nevanlinna理论 |
Distribution of values, Nevanlinna theory |
||
|
30D40 |
聚类集合, 素端, 边界特性 |
Cluster sets, prime ends, boundary behavior |
||
|
30D45 |
Bloch函数, 正规函数, 正规族 |
Bloch functions, normal functions, normal families |
||
|
30D60 |
拟解析函数与其它函数类 |
Quasi-analytic and other classes of functions |
||
|
30D99 |
其它 |
None of the above, but in this section |
||
|
30Exx |
复域中分析的杂题 |
Miscellaneous topics of analysis in the complex domain |
||
|
30E05 |
矩问题, 插值问题 |
Moment problems, interpolation problems |
||
|
30E10 |
复域中的逼近 |
Approximation in the complex domain |
||
|
30E15 |
复域中的渐近表示 |
Asymptotic representations in the complex domain |
||
|
30E20 |
积分法, Cauchy型积分, 解析函数的积分表示[参见45Exx] |
Integration, integrals of Cauchy type, integral representations of analytic functions [See also 45Exx] |
||
|
30E25 |
边值问题[参见45Exx] |
Boundary value problems [See also 45Exx] |
||
|
30E99 |
其它 |
None of the above, but in this section |
||
|
30Fxx |
Riemann曲面 |
Riemann surfaces |
||
|
30F10 |
紧Riemann曲面和单值化[参见14H15, 32G15] |
Compact Riemann surfaces and uniformization [See also 14H15, 32G15] |
||
|
30F15 |
Riemann曲面上的调和函数 |
Harmonic functions on Riemann surfaces |
||
|
30F20 |
Riemann曲面上的分类理论 |
Classification theory of Riemann surfaces |
||
|
30F25 |
理想边界理论 |
Ideal boundary theory |
||
|
30F30 |
Riemann曲面上的微分 |
Differentials on Riemann surfaces |
||
|
30F35 |
Fuchs群和自守函数[参见11Fxx, 20H10, 22E40, 32Gxx, 32Nxx] |
Fuchsian groups and automorphic functions [See also 11Fxx, 20H10, 22E40, 32Gxx, 32Nxx] |
||
|
30F40 |
Klein群[参见20H10] |
Kleinian groups [See also 20H10] |
||
|
30F45 |
共形度量(双曲的, Poncairé, 距离函数) |
Conformal metrics (hyperbolic, Poincaré, distance functions) |
||
|
30F50 |
Klein曲面 |
Klein surfaces |
||
|
30F60 |
Teichmüller理论[参见32G15] |
Teichmüller theory [See also 32G15] |
||
|
30F99 |
其它 |
None of the above, but in this section |
||
|
30Gxx |
广义函数论 |
Generalized function theory |
||
|
30G06 |
非Archimedes函数论[参见12J25]; 非标准函数论[参见03H05] |
Non-Archimedean function theory [See also 12J25]; nonstandard function theory [See also 03H05] |
||
|
30G12 |
细全纯函数与拓扑函数论 |
Finely holomorphic functions and topological function theory |
||
|
30G20 |
Bers或Vekua型推广(伪解析的、p-解析的等) |
Generalizations of Bers or Vekua type (pseudoanalytic, p-analytic, etc.) |
||
|
30G25 |
离散解析函数 |
Discrete analytic functions |
||
|
30G30 |
解析函数的其它推广(包括抽象值函数) |
Other generalizations of analytic functions (including abstract-valued functions) |
||
|
30G35 |
超复变量函数与广义变量函数 |
Functions of hypercomplex variables and generalized variables |
||
|
30G99 |
其它 |
None of the above, but in this section |
||
|
30Hxx |
解析函数的空间和代数 |
Spaces and algebras of analytic functions |
||
|
30H05 |
有界解析函数 |
Bounded analytic functions |
||
|
30H10 |
Hardy空间 |
Hardy spaces |
||
|
30H15 |
Nevanlinna类和 Smirnov类 |
Nevanlinna class and Smirnov class |
||
|
30H20 |
Bergman空间, Fock空间 |
Bergman spaces, Fock spaces |
||
|
30H25 |
Besov空间和Qp-空间 |
Besov spaces and Qp-spaces |
||
|
30H30 |
Bloch空间 |
Bloch spaces |
||
|
30H35 |
BMO-空间 |
BMO-spaces |
||
|
30H50 |
解析函数的代数 |
Algebras of analytic functions |
||
|
30H80 |
Corona理论 |
Corona theorems |
||
|
30H99 |
其它 |
None of the above, but in this section |
||
|
30Jxx |
圆盘上的函数论 |
Function theory on the disc |
||
|
30J05 |
内函数 |
Inner functions |
||
|
30J10 |
Blaschke积 |
Blaschke products |
||
|
30J15 |
奇异内函数 |
Singular inner functions |
||
|
30J99 |
其它 |
None of the above, but in this section |
||
|
30Kxx |
通用全纯函数 |
Universal holomorphic functions |
||
|
30K05 |
通用Taylor级数 |
Universal Taylor series |
||
|
30K10 |
通用Dirichlet级数 |
Universal Dirichlet series |
||
|
30K15 |
有界通用函数 |
Bounded universal functions |
||
|
30K20 |
复合通用性 |
Compositional universality |
||
|
30K99 |
其它 |
None of the above, but in this section |
||
|
30Lxx |
度量空间上的分析 |
Analysis on metric spaces |
||
|
30L05 |
度量空间的几何嵌入 |
Geometric embeddings of metric spaces |
||
|
30L10 |
度量空间的拟共形映射 |
Quasiconformal mappings in metric spaces |
||
|
30L99 |
其它 |
None of the above, but in this section |
||
|
31-XX |
位势论(概率位势论, 见60J45) |
Potential theory (For probabilistic potential theory, see 60J45) |
||
|
31-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
31-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
31-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
31-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
31-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
31-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
31Axx |
二维理论 |
Two-dimensional theory |
||
|
31A05 |
调和、次调和、上调和函数 |
Harmonic, subharmonic, superharmonic functions |
||
|
31A10 |
积分表示, 积分算子, 积分方程法 |
Integral representations, integral operators, integral equations methods |
||
|
31A15 |
位势和容量, 调和测度, 极值长度[参见30C85] |
Potentials and capacity, harmonic measure, extremal length [See also 30C85] |
||
|
31A20 |
边界性态(Fatou型定理等) |
Boundary behavior (theorems of Fatou type, etc.) |
||
|
31A25 |
边值问题和逆问题 |
Boundary value and inverse problems |
||
|
31A30 |
双调和、多调和函数与方程, Poisson方程 |
Biharmonic, polyharmonic functions and equations, Poisson’s equation |
||
|
31A35 |
与微分方程的联系 |
Connections with differential equations |
||
|
31A99 |
其它 |
None of the above, but in this section |
||
|
31Bxx |
高维理论 |
Higher-dimensional theory |
||
|
31B05 |
调和、次调和、上调和函数 |
Harmonic, subharmonic, superharmonic functions |
||
|
31B10 |
积分表示, 积分算子, 积分方程法 |
Integral representations, integral operators, integral equations methods |
||
|
31B15 |
位势和容量, 极值长度 |
Potentials and capacities, extremal length |
||
|
31B20 |
边值问题和逆问题 |
Boundary value and inverse problems |
||
|
31B25 |
边界性态 |
Boundary behavior |
||
|
31B30 |
双调和、多调和方程与函数 |
Biharmonic and polyharmonic equations and functions |
||
|
31B35 |
与微分方程的联系 |
Connections with differential equations |
||
|
31B99 |
其它 |
None of the above, but in this section |
||
|
31Cxx |
其它推广 |
Other generalizations |
||
|
31C05 |
调和、次调和、上调和函数 |
Harmonic, subharmonic, superharmonic functions |
||
|
31C10 |
多重调和与多重次调和函数[参见32U05] |
Pluriharmonic and plurisubharmonic functions [See also 32U05] |
||
|
31C12 |
Riemann流形上位势论[参见53C20; Hodge理论, 见58A14] |
Potential theory on Riemannian manifolds [See also 53C20; for Hodge theory, see 58A14] |
||
|
31C15 |
位势和容量 |
Potentials and capacities |
||
|
31C20 |
离散位势论和数值方法 |
Discrete potential theory and numerical methods |
||
|
31C25 |
Dirichlet空间 |
Dirichlet spaces |
||
|
31C35 |
Martin边界理论[参见60J50] |
Martin boundary theory [See also 60J50] |
||
|
31C40 |
细位势论 |
Fine potential theory |
||
|
31C45 |
其它推广(非线性位势论等) |
Other generalizations (nonlinear potential theory, etc.) |
||
|
31C99 |
其它 |
None of the above, but in this section |
||
|
31Dxx |
公理位势论 |
Axiomatic potential theory |
||
|
31D05 |
公理位势论 |
Axiomatic potential theory |
||
|
31D99 |
其它 |
None of the above, but in this section |
||
|
31Exx |
度量空间的位势论 |
Potential theory on metric spaces |
||
|
31E05 |
度量空间的位势论 |
Potential theory on metric spaces |
||
|
31E99 |
其它 |
None of the above, but in this section |
||
|
32-XX |
多复变量与解析空间(无限维正则, 见46G20, 58B12) |
Several complex variables and analytic spaces (For infinite-dimensional holomorphy, see 46G20, 58B12) |
||
|
32-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
32-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
32-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
32-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
32-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
32-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
32Axx |
多复变量全纯函数 |
Holomorphic functions of several complex variables |
||
|
32A05 |
幂级数, 函数级数 |
Power series, series of functions |
||
|
32A07 |
特殊域(Reinhardt, Hartogs, 圆, 管) |
Special domains (Reinhardt, Hartogs, circular, tube) |
||
|
32A10 |
全纯函数 |
Holomorphic functions |
||
|
32A12 |
多值函数 |
Multifunctions |
||
|
32A15 |
整函数 |
Entire functions |
||
|
32A17 |
特殊函数族 |
Special families of functions |
||
|
32A18 |
Bloch函数, 正规函数 |
Bloch functions, normal functions |
||
|
32A19 |
函数的正规族, 映射 |
Normal families of functions, mappings |
||
|
32A20 |
亚纯函数 |
Meromorphic functions |
||
|
32A22 |
Nevanlinna理论(局部的); 增长估计; 其它不等式(几何理论, 见32H25, 32H30) |
Nevanlinna theory (local); growth estimates; other inequalities (For geometric theory, see 32H25, 32H30) |
||
|
32A25 |
积分表示; 标准核(Szegö、Bergman等) |
Integral representations; canonical kernels (Szegö, Bergman, etc.) |
||
|
32A26 |
积分表示, 构造核(例如: Cauchy, Fantappiè型核) |
Integral representations, constructed kernels (e.g. Cauchy, Fantappiè-type kernels) |
||
|
32A27 |
剩余的局部理论[参见32C30] |
Local theory of residues [See also 32C30] |
||
|
32A30 |
单复变量函数理论的其它推广(还必须在30-XX中至少指定一个分类号)(多超复变量函数, 见30G35) |
Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30) (For functions of several hypercomplex variables, see 30G35) |
||
|
32A35 |
Hp空间, Nevanlinna空间[参见32M15, 42B30, 43A85, 46J15] |
Hp-spaces, Nevanlinna spaces [See also 32M15, 42B30, 43A85, 46J15] |
||
|
32A36 |
Bergman空间 |
Bergman spaces |
||
|
32A37 |
全纯函数的其它空间(例如: 有界平均振荡(BMOA), 消没平均振荡(VMOA))[参见46Exx] |
Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) [See also 46Exx] |
||
|
32A38 |
全纯函数的代数[参见30H05, 46J10, 46J15] |
Algebras of holomorphic functions [See also 30H05, 46J10, 46J15] |
||
|
32A40 |
全纯函数的边界特性 |
Boundary behavior of holomorphic functions |
||
|
32A45 |
超函数[参见46F15] |
Hyperfunctions [See also 46F15] |
||
|
32A50 |
多复变量的调和分析[主要见43-XX] |
Harmonic analysis of several complex variables [See mainly 43-XX] |
||
|
32A55 |
奇异积分 |
Singular integrals |
||
|
32A60 |
全纯函数的零点集 |
Zero sets of holomorphic functions |
||
|
32A65 |
Banach代数方法[主要见46Jxx] |
Banach algebra techniques [See mainly 46Jxx] |
||
|
32A70 |
泛函分析方法[主要见46Exx] |
Functional analysis techniques [See mainly 46Exx] |
||
|
32A99 |
其它 |
None of the above, but in this section |
||
|
32Bxx |
局部解析几何[参见13-XX, 14-XX] |
Local analytic geometry [See also 13-XX and 14-XX] |
||
|
32B05 |
解析代数及其推广, 预备定理 |
Analytic algebras and generalizations, preparation theorems |
||
|
32B10 |
解析集的芽, 局部参数化 |
Germs of analytic sets, local parametrization |
||
|
32B15 |
仿射空间的解析子集 |
Analytic subsets of affine space |
||
|
32B20 |
半解析集与子解析集[参见14P15] |
Semi-analytic sets and subanalytic sets [See also 14P15] |
||
|
32B25 |
三角剖分与有关问题 |
Triangulation and related questions |
||
|
32B99 |
其它 |
None of the above, but in this section |
||
|
32Cxx |
解析空间 |
Analytic spaces |
||
|
32C05 |
实解析流形, 实解析空间[参见14Pxx, 58A07] |
Real-analytic manifolds, real-analytic spaces [See also 14Pxx, 58A07] |
||
|
32C07 |
实解析集, 复Nash函数[参见14P15, 14P20] |
Real-analytic sets, complex Nash functions [See also 14P15, 14P20] |
||
|
32C09 |
实解析流形的嵌入 |
Embedding of real analytic manifolds |
||
|
32C11 |
复超几何[参见14A22, 14M30, 58A50] |
Complex supergeometry [See also 14A22, 14M30, 58A50] |
||
|
32C15 |
复空间 |
Complex spaces |
||
|
32C18 |
解析空间的拓扑 |
Topology of analytic spaces |
||
|
32C20 |
正规解析空间 |
Normal analytic spaces |
||
|
32C22 |
解析空间的嵌入 |
Embedding of analytic spaces |
||
|
32C25 |
解析子集与子流形 |
Analytic subsets and submanifolds |
||
|
32C30 |
解析集和解析空间上的积分法, 流(局部理论, 见32A25或32A27) |
Integration on analytic sets and spaces, currents (For local theory, see 32A25 or 32A27) |
||
|
32C35 |
解析层和上同调群[参见14Fxx, 18F20, 55N30] |
Analytic sheaves and cohomology groups [See also 14Fxx, 18F20, 55N30] |
||
|
32C36 |
解析空间的局部上同调 |
Local cohomology of analytic spaces |
||
|
32C37 |
对偶定理 |
Duality theorems |
||
|
32C38 |
微分算子的层及其模, D-模[参见14F10, 16S32, 35A27, 58J15] |
Sheaves of differential operators and their modules, D-modules [See also 14F10, 16S32, 35A27, 58J15] |
||
|
32C55 |
复空间中Levi问题; 推广 |
The Levi problem in complex spaces; generalizations |
||
|
32C81 |
应用于物理 |
Applications to physics |
||
|
32C99 |
其它 |
None of the above, but in this section |
||
|
32Dxx |
解析延拓 |
Analytic continuation |
||
|
32D05 |
全纯域 |
Domains of holomorphy |
||
|
32D10 |
全纯包络 |
Envelopes of holomorphy |
||
|
32D15 |
解析目标的延拓 |
Continuation of analytic objects |
||
|
32D20 |
可去奇点 |
Removable singularities |
||
|
32D26 |
Riemann域 |
Riemann domains |
||
|
32D99 |
其它 |
None of the above, but in this section |
||
|
32Exx |
全纯凸性 |
Holomorphic convexity |
||
|
32E05 |
全纯凸复空间, 约化理论 |
Holomorphically convex complex spaces, reduction theory |
||
|
32E10 |
Stein空间, Stein流形 |
Stein spaces, Stein manifolds |
||
|
32E20 |
多项式凸性 |
Polynomial convexity |
||
|
32E30 |
全纯与多项式逼近, Runge对, 插值(法) |
Holomorphic and polynomial approximation, Runge pairs, interpolation |
||
|
32E35 |
全纯函数的整体边界特性 |
Global boundary behavior of holomorphic functions |
||
|
32E40 |
Levi问题 |
The Levi problem |
||
|
32E99 |
其它 |
None of the above, but in this sect |
||
|
32Fxx |
几何凸性 |
Geometric convexity |
||
|
32F10 |
q-凸性, q-凹性 |
q-convexity, q-concavity |
||
|
32F17 |
其它凸性概念 |
Other notions of convexity |
||
|
32F18 |
有限型条件 |
Finite-type conditions |
||
|
32F27 |
几何凸性的拓扑推论 |
Topological consequences of geometric convexity |
||
|
32F32 |
几何凸性的解析推论(消没定理等) |
Analytical consequences of geometric convexity (vanishing theorems, etc.) |
||
|
32F45 |
不变度量及其伪距离 |
Invariant metrics and pseudodistances |
||
|
32F99 |
其它 |
None of the above, but in this section |
||
|
32Gxx |
解析结构的形变 |
Deformations of analytic structures |
||
|
32G05 |
复结构的形变[参见13D10, 16S80, 58H10, 58H15] |
Deformations of complex structures [See also 13D10, 16S80, 58H10, 58H15] |
||
|
32G07 |
特殊(例如: CR)结构的形变 |
Deformations of special (e.g. CR) structures |
||
|
32G08 |
纤维丛的形变 |
Deformations of fiber bundles |
||
|
32G10 |
子流形与子空间的形变 |
Deformations of submanifolds and subspaces |
||
|
32G13 |
解析模问题(代数模问题, 见14D20, 14D22, 14H10, 14J10)[参见14H15, 14J15] |
Analytic moduli problems (For algebraic moduli problems, see 14D20, 14D22, 14H10, 14J10) [See also 14H15, 14J15] |
||
|
32G15 |
Riemann曲面的模, Teichmüller理论[参见14H15, 30Fxx] |
Moduli of Riemann surfaces, Teichmüller theory [See also 14H15, 30Fxx] |
||
|
32G20 |
周期矩阵, Hodge结构的变分; 退化[参见14D05, 14D07, 14K30] |
Period matrices, variation of Hodge structure; degenerations [See also 14D05, 14D07, 14K30] |
||
|
32G34 |
常微分方程的模与形变(例如: Knizhnik-Zamolodchikov方程)[参见34Mxx] |
Moduli and deformations for ordinary differential equations (e.g. Khnizhnik-Zamolodchikov equation) [See also 34Mxx] |
||
|
32G81 |
应用于物理 |
Applications to physics |
||
|
32G99 |
其它 |
None of the above, but in this section |
||
|
32Hxx |
全纯映射与对应 |
Holomorphic mappings and correspondences |
||
|
32H02 |
全纯映射, (全纯)嵌入及其相关问题 |
Holomorphic mappings, (holomorphic) embeddings and related questions |
||
|
32H04 |
亚纯映射 |
Meromorphic mappings |
||
|
32H12 |
边界映射的唯一性 |
Boundary uniqueness of mappings |
||
|
32H25 |
Picard型定理及其推广(函数理论性质, 见32A22) |
Picard-type theorems and generalizations (For function-theoretic properties, see 32A22) |
||
|
32H30 |
高维值分布理论(函数理论性质, 见32A22) |
Value distribution theory in higher dimensions (For function-theoretic properties, see 32A22) |
||
|
32H35 |
真映射, 有限性定理 |
Proper mappings, finiteness theorems |
||
|
32H40 |
映射的边界正则性 |
Boundary regularity of mappings |
||
|
32H50 |
迭代问题 |
Iteration problems |
||
|
32H99 |
其它 |
None of the above, but in this section |
||
|
32Jxx |
紧解析空间(Riemann曲面, 见14Hxx, 30Fxx; 代数理论, 见14Jxx) |
Compact analytic spaces (For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx) |
||
|
32J05 |
解析空间的紧化 |
Compactification of analytic spaces |
||
|
32J10 |
代数相关定理 |
Algebraic dependence theorems |
||
|
32J15 |
紧曲面 |
Compact surfaces |
||
|
32J17 |
紧3重 |
Compact 3-folds |
||
|
32J18 |
紧n重 |
Compact n-folds |
||
|
32J25 |
代数几何的超越方法[参见14C30] |
Transcendental methods of algebraic geometry [See also 14C30] |
||
|
32J27 |
紧Kähler流形: 推广, 分类 |
Compact Kähler manifolds: generalizations, classification |
||
|
32J81 |
应用于物理 |
Applications to physics |
||
|
32J99 |
其它 |
None of the above, but in this section |
||
|
32Kxx |
解析空间的推广(还应在32-XX中至少指定一个分类号) |
Generalizations of analytic spaces (should also be assigned at least one other classification number from Section 32 describing the type of problem) |
||
|
32K05 |
Banach解析空间[参见58Bxx] |
Banach analytic spaces [See also 58Bxx] |
||
|
32K07 |
形式与分次复空间[参见58C50] |
Formal and graded complex spaces [See also 58C50] |
||
|
32K15 |
解析空间上的可微函数, 可微空间[参见58C25] |
Differentiable functions on analytic spaces, differentiable spaces [See also 58C25] |
||
|
32K99 |
其它 |
None of the above, but in this section |
||
|
32Lxx |
全纯纤维空间[参见55Rxx] |
Holomorphic fiber spaces [See also 55Rxx] |
||
|
32L05 |
全纯丛及其推广 |
Holomorphic bundles and generalizations |
||
|
32L10 |
全纯向量丛的截面层与截面上同调, 一般结果[参见14F05, 18F20, 55N30] |
Sheaves and cohomology of sections of holomorphic vector bundles, general results [See also 14F05, 18F20, 55N30] |
||
|
32L15 |
丛凸性[参见32F10] |
Bundle convexity [See also 32F10] |
||
|
32L20 |
消没定理 |
Vanishing theorems |
||
|
32L25 |
扭子理论, 二重纤维化[参见53C28] |
Twistor theory, double fibrations [See also 53C28] |
||
|
32L81 |
应用于物理 |
Applications to physics |
||
|
32L99 |
其它 |
None of the above, but in this section |
||
|
32Mxx |
有一个自同构群的复空间 |
Complex spaces with a group of automorphisms |
||
|
32M05 |
复Lie群, 作用于复空间的自同构群[参见22E10] |
Complex Lie groups, automorphism groups acting on complex spaces [See also 22E10] |
||
|
32M10 |
齐次复流形[参见14M17, 57T15] |
Homogeneous complex manifolds [See also 14M17, 57T15] |
||
|
32M12 |
殆齐次流形和空间[参见14M17] |
Almost homogeneous manifolds and spaces [See also 14M17] |
||
|
32M15 |
Hermite对称空间, 有界对称域, Jordan代数[参见22E10, 22E40, 53C35, 57T15] |
Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras [See also 22E10, 22E40, 53C35, 57T15] |
||
|
32M17 |
Cn的自同构群和仿射流形 |
Automorphism groups of Cn and affine manifolds |
||
|
32M25 |
复向量场 |
Complex vector fields |
||
|
32M99 |
其它 |
None of the above, but in this section |
||
|
32Nxx |
自守函数[参见11Fxx, 20H10, 22E40, 30F35] |
Automorphic functions [See also 11Fxx, 20H10, 22E40, 30F35] |
||
|
32N05 |
多复变量自守函数的一般理论 |
General theory of automorphic functions of several complex variables |
||
|
32N10 |
自守型 |
Automorphic forms |
||
|
32N15 |
对称域中的自守函数 |
Automorphic functions in symmetric domains |
||
|
32N99 |
其它 |
None of the above, but in this section |
||
|
32Pxx |
非Archimedes分析(应在描述该问题的32-XX中至少指定一个其它分类号) |
Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) |
||
|
32P05 |
非Archimedes分析(应在描述该问题的32-XX中至少指定一个其它分类号) |
Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) |
||
|
32P99 |
其它 |
None of the above, but in this section |
||
|
32Qxx |
复流形 |
Complex manifolds |
||
|
32Q05 |
负曲率流形 |
Negative curvature manifolds |
||
|
32Q10 |
正曲率流形 |
Positive curvature manifolds |
||
|
32Q15 |
Kähler流形 |
Kähler manifolds |
||
|
32Q20 |
Kähler-Einstein流形[参见53Cxx] |
Kähler-Einstein manifolds [See also 53Cxx] |
||
|
32Q25 |
Calabi-Yau理论[参见14J32] |
Calabi-Yau theory [See also 14J30] |
||
|
32Q26 |
稳定性概念 |
Notions of stability |
||
|
32Q28 |
Stein流形 |
Stein manifolds |
||
|
32Q30 |
单值化 |
Uniformization |
||
|
32Q35 |
作为Euclid空间子域的复流形 |
Complex manifolds as subdomains of Euclidean space |
||
|
32Q40 |
嵌入定理 |
Embedding theorems |
||
|
32Q45 |
双曲和Kobayashi双曲流形 |
Hyperbolic and Kobayashi hyperbolic manifolds |
||
|
32Q55 |
复流形的拓扑方面 |
Topological aspects of complex manifolds |
||
|
32Q57 |
分类定理 |
Classification theorems |
||
|
32Q60 |
殆复流形 |
Almost complex manifolds |
||
|
32Q65 |
伪全纯曲线 |
Pseudoholomorphic curves |
||
|
32Q99 |
其它 |
None of the above, but in this section |
||
|
32Sxx |
奇异性[参见58Kxx] |
Singularities [See also 58Kxx] |
||
|
32S05 |
局部奇异性[参见14J17] |
Local singularities [See also 14J17] |
||
|
32S10 |
解析局部环的不变量 |
Invariants of analytic local rings |
||
|
32S15 |
等奇异性(拓扑的与解析的)[参见14E15] |
Equisingularity (topological and analytic) [See also 14E15] |
||
|
32S20 |
奇异性的整体理论; 上同调性质[参见14E15] |
Global theory of singularities; cohomological properties [See also 14E15] |
||
|
32S22 |
与超平面排列的关系[参见52C35] |
Relations with arrangements of hyperplanes [See also 52C35] |
||
|
32S25 |
曲面和超曲面的奇异性[参见14J17] |
Surface and hypersurface singularities [See also 14J17] |
||
|
32S30 |
奇异性的形变; 消没周期[参见14B07] |
Deformations of singularities; vanishing cycles [See also 14B07] |
||
|
32S35 |
奇异簇的混合Hodge理论[参见14C30, 14D07] |
Mixed Hodge theory of singular variety [See also 14C30, 14D07] |
||
|
32S40 |
单值(性); 与微分方程及D-模的关系 |
Monodromy; relations with differential equations and D-modules |
||
|
32S45 |
修正; 奇异性的分解[参见14E15] |
Modifications; resolution of singularities [See also 14E15] |
||
|
32S50 |
拓扑方面: Lefschetz定理, 拓扑分类, 不变量 |
Topological aspects: Lefschetz theorems, topological classification, invariants |
||
|
32S55 |
Milnor纤维化; 与纽结理论的关系[参见57M25, 57Q45] |
Milnor fibration; relations with knot theory [See also 57M25, 57Q45] |
||
|
32S60 |
分层; 可构成层; 相交上同调[参见58Kxx] |
Stratifications; constructible sheaves; intersection cohomology [See also 58Kxx] |
||
|
32S65 |
全纯向量场和叶状结构的奇异性 |
Singularities of holomorphic vector fields and foliations |
||
|
32S70 |
奇异性的其它运算 |
Other operations on singularities |
||
|
32S99 |
其它 |
None of the above, but in this section |
||
|
32Txx |
伪凸域 |
Pseudoconvex domains |
||
|
32T05 |
正则域 |
Domains of holomorphy |
||
|
32T15 |
强伪凸域 |
Strongly pseudoconvex domains |
||
|
32T20 |
Worm域 |
Worm domains |
||
|
32T25 |
有限型域 |
Finite type domains |
||
|
32T27 |
弱伪凸边界上几何及其解析不变量 |
Geometric and analytic invariants on weakly pseudoconvex boundaries |
||
|
32T35 |
穷举函数 |
Exhaustion functions |
||
|
32T40 |
峰函数 |
Peak functions |
||
|
32T99 |
其它 |
None of the above, but in this section |
||
|
32Uxx |
多重位势论 |
Pluripotential theory |
||
|
32U05 |
多重次调和函数及推广[参见31C10] |
Plurisubharmonic functions and generalizations [See also 31C10] |
||
|
32U10 |
多重次调和穷举函数 |
Plurisubharmonic exhaustion functions |
||
|
32U15 |
一般多重位势论 |
General pluripotential theory |
||
|
32U20 |
容量理论及其推广 |
Capacity theory and generalizations |
||
|
32U25 |
Lelong数 |
Lelong numbers |
||
|
32U30 |
可去集 |
Removable sets |
||
|
32U35 |
多重复Green函数 |
Pluricomplex Green functions |
||
|
32U40 |
流动 |
Currents |
||
|
32U99 |
其它 |
None of the above, but in this section |
||
|
32Vxx |
CR流形 |
CR manifolds |
||
|
32V05 |
CR结构, CR算子, 及其推广 |
CR structures, CR operators, and generalizations |
||
|
32V10 |
CR函数 |
CR functions |
||
|
32V15 |
作为域边界的CR流形 |
CR manifolds as boundaries of domains |
||
|
32V20 |
CR流形上的分析 |
Analysis on CR manifolds |
||
|
32V25 |
函数的扩张及CR流形的其它解析对象 |
Extension of functions and other analytic objects from CR manifolds |
||
|
32V30 |
CR流形的嵌入 |
Embeddings of CR manifolds |
||
|
32V35 |
CR流形上的有限型条件 |
Finite type conditions on CR manifolds |
||
|
32V40 |
复流形中的实子流形 |
Real submanifolds in complex manifolds |
||
|
32V99 |
其它 |
None of the above, but in this section |
||
|
32Wxx |
多复变量微分算子 |
Differential operators in several complex variables |
||
|
32W05 |
和-Neumann算子 |
and -Neumann operators |
||
|
32W10 |
b和b-Neumann算子 |
b and b-Neumann operators |
||
|
32W20 |
复Monge-Ampère算子 |
Complex Monge-Ampère operators |
||
|
32W25 |
多复变量中的伪微分算子 |
Pseudodifferential operators in several complex variables |
||
|
32W30 |
多复变量中的热核 |
Heat kernels in several complex variables |
||
|
32W50 |
复分析的其它偏微分方程 |
Other partial differential equations of complex analysis |
||
|
32W99 |
其它 |
None of the above, but in this section |
||
|
33-XX |
特殊函数(33-XX研究函数的性质)(正交函数, 见42Cxx; 组合方面, 见05Axx; 数论方面, 见11-XX; 表示理论, 见22Exx) |
Special functions (33-XX deals with the properties of functions as functions) (For orthogonal functions, see 42Cxx; for aspects of combinatorics see 05Axx; for number-theoretic aspects see 11-XX; for representation theory see 22Exx) |
||
|
33-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
33-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
33-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
33-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
33-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
33-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
33Bxx |
初等经典函数 |
Elementary classical functions |
||
|
33B10 |
指数函数与三角函数 |
Exponential and trigonometric functions |
||
|
33B15 |
Γ函数, β函数与多Γ函数 |
Gamma, beta and polygamma functions |
||
|
33B20 |
不完全的β函数与Γ函数(误差函数, 概率积分, Fresnel积分) |
Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) |
||
|
33B30 |
高阶对数函数 |
Higher logarithm functions |
||
|
33B99 |
其它 |
None of the above, but in this section |
||
|
33Cxx |
超几何函数 |
Hypergeometric functions |
||
|
33C05 |
经典超几何函数, 2F1 |
Classical hypergeometric functions, 2F1 |
||
|
33C10 |
Bessel函数与Airy函数, 柱函数, 0F1 |
Bessel and Airy functions, cylinder functions, 0F1 |
||
|
33C15 |
合流超几何函数, Whittaker函数, 1F1 |
Confluent hypergeometric functions, Whittaker functions, 1F1 |
||
|
33C20 |
广义超几何级数, pFq |
Generalized hypergeometric series, pFq |
||
|
33C45 |
超几何型的正交多项式和函数(Jacobi、Laguerre、Hermite、Askey格式等)[一般正交多项式和函数, 参见42C05] |
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [See also 42C05 for general orthogonal polynomials and functions] |
||
|
33C47 |
其它特殊正交多项式和函数 |
Other special orthogonal polynomials and functions |
||
|
33C50 |
可用单变量特殊函数表达的多变量正交多项式和函数 |
Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable |
||
|
33C52 |
与根系相关的正交多项式和函数 |
Orthogonal polynomials and functions associated with root systems |
||
|
33C55 |
球面调和函数 |
Spherical harmonics |
||
|
33C60 |
由其(E, G, H和I函数)定义的超几何积分和函数 |
Hypergeometric integrals and functions defined by them (E, G, H and I functions) |
||
|
33C65 |
Appell, Horn和Lauricella函数 |
Appell, Horn and Lauricella functions |
||
|
33C67 |
与根系相关的超几何函数 |
Hypergeometric functions associated with root systems |
||
|
33C70 |
多变量中的其它超几何函数和积分 |
Other hypergeometric functions and integrals in several variables |
||
|
33C75 |
作为超几何函数的椭圆积分 |
Elliptic integrals as hypergeometric functions |
||
|
33C80 |
与群和代数的关系, 及其有关课题 |
Connections with groups and algebras, and related topics |
||
|
33C90 |
应用 |
Applications |
||
|
33C99 |
其它 |
None of the above, but in this section |
||
|
33Dxx |
基本超几何函数 |
Basic hypergeometric functions |
||
|
33D05 |
q-Γ函数, q-β函数与积分 |
q-gamma functions, q-beta functions and integrals |
||
|
33D15 |
单变量中的基本超几何函数, rφs |
Basic hypergeometric functions in one variable, rφs |
||
|
33D45 |
基本正交多项式和函数(Askey-Wilson多项式等) |
Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) |
||
|
33D50 |
可用单变量基本超几何函数表达的多变量正交多项式和函数 |
Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable |
||
|
33D52 |
与根系相关的基本正交多项式和函数(Macdonald多项式等) |
Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) |
||
|
33D60 |
基本超几何积分和由其定义的函数 |
Basic hypergeometric integrals and functions defined by them |
||
|
33D65 |
双基本函数和多重基 |
Bibasic functions and multiple bases |
||
|
33D67 |
与根系相关的基本超几何函数 |
Basic hypergeometric functions associated with root systems |
||
|
33D70 |
多变量中的其它基本超几何函数和积分 |
Other basic hypergeometric functions and integrals in several variables |
||
|
33D80 |
与量子群、Chevalley群、p-进群、Hecke代数及其相关课题的联系 |
Connections with quantum groups, Chevalley groups, p-adic groups, Hecke algebras, and related topics |
||
|
33D90 |
应用 |
Applications |
||
|
33D99 |
其它 |
None of the above, but in this section |
||
|
33Exx |
其它特殊函数 |
Other special functions |
||
|
33E05 |
椭圆函数与积分 |
Elliptic functions and integrals |
||
|
33E10 |
Lamé, Mathieu与球面波函数 |
Lamé, Mathieu, and spheroidal wave functions |
||
|
33E12 |
Mittag-Leffer函数及其推广 |
Mittag-Leffler functions and generalizations |
||
|
33E15 |
其它波函数 |
Other wave functions |
||
|
33E17 |
Painlevé型函数 |
Painlevé-type functions |
||
|
33E20 |
由级数和积分定义的其它函数 |
Other functions defined by series and integrals |
||
|
33E30 |
来自微分、差分与积分方程的其它函数 |
Other functions coming from differential, difference and integral equations |
||
|
33E50 |
特征p中的特殊函数(Γ函数等) |
Special functions in characteristic p (gamma functions, etc.) |
||
|
33E99 |
其它 |
None of the above, but in this section |
||
|
33Fxx |
计算方面 |
Computational aspects |
||
|
33F05 |
数值逼近和赋值[参见65D20] |
Numerical approximation and evaluation [See also 65D20] |
||
|
33F10 |
符号计算(Gosper和Zeilberger算法等)[参见68W30] |
Symbolic computation (Gosper and Zeilberger algorithms, etc.) [See also 68W30] |
||
|
33F99 |
其它 |
None of the above, but in this section |
||
|
34-XX |
常微分方程 |
Ordinary differential equations |
||
|
34-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
34-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
34-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
34-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
34-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
34-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
34Axx |
一般理论 |
General theory |
||
|
34A05 |
显式解和简化 |
Explicit solutions and reductions |
||
|
34A07 |
模糊微分方程 |
Fuzzy differential equations |
||
|
34A08 |
分式微分方程 |
Fractional differential equations |
||
|
34A09 |
隐式方程, 微分-代数方程[参见65L80] |
Implicit equations, differential-algebraic equations [See also 65L80] |
||
|
34A12 |
解的初值问题、存在性、唯一性、连续依赖性及延拓 |
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions |
||
|
34A25 |
解析理论: 级数、变换、变换式、运算微积分等[参见44-XX] |
Analytical theory: series, transformations, transforms, operational calculus, etc. [See also 44-XX] |
||
|
34A26 |
微分方程中的几何方法 |
Geometric methods in differential equations |
||
|
34A30 |
线性方程与方程组, 一般理论 |
Linear equations and systems, general |
||
|
34A33 |
格微分方程 |
Lattice differential equations |
||
|
34A34 |
非线性方程与方程组, 一般理论 |
Nonlinear equations and systems, general |
||
|
34A35 |
无限阶微分方程 |
Differential equations of infinite order |
||
|
34A36 |
不连续方程 |
Discontinuous equations |
||
|
34A37 |
带有脉冲的微分方程 |
Differential equations with impulses |
||
|
34A38 |
混合系统 |
Hybrid systems |
||
|
34A40 |
微分不等式[参见26D20] |
Differential inequalities [See also 26D20] |
||
|
34A45 |
解的理论逼近(数值分析, 见65Lxx) |
Theoretical approximation of solutions (For numerical analysis, see 65Lxx) |
||
|
34A55 |
逆问题 |
Inverse problems |
||
|
34A60 |
微分包含[参见49J21, 49K21] |
Differential inclusions [See also 49J21, 49K21] |
||
|
34A99 |
其它 |
None of the above, but in this section |
||
|
34Bxx |
边值问题(常微分算子, 见34Lxx) |
Boundary value problems (For ordinary differential operators, see 34Lxx) |
||
|
34B05 |
线性边值问题 |
Linear boundary value problems |
||
|
34B07 |
具有非线性依赖谱参数的线性边值问题 |
Linear boundary value problems with nonlinear dependence on the spectral parameter |
||
|
34B08 |
参数依赖的边值问题 |
Parameter dependent boundary value problems |
||
|
34B09 |
边界特征值问题 |
Boundary eigenvalue problems |
||
|
34B10 |
非局部和多点边值问题 |
Nonlocal and multipoint boundary value problems |
||
|
34B15 |
非线性边值问题 |
Nonlinear boundary value problems |
||
|
34B16 |
奇异非线性边值问题 |
Singular nonlinear boundary value problems |
||
|
34B18 |
非线性边值问题的正解 |
Positive solutions of nonlinear boundary value problems |
||
|
34B20 |
Weyl理论及其推广 |
Weyl theory and its generalizations |
||
|
34B24 |
Sturm-Liouville理论[参见34Lxx] |
Sturm-Liouville theory [See also 34Lxx] |
||
|
34B27 |
Green函数 |
Green functions |
||
|
34B30 |
特殊方程(Mathieu、Hill、Bessel等) |
Special equations (Mathieu, Hill, Bessel, etc.) |
||
|
34B37 |
带有脉冲的边值问题 |
Boundary value problems with impulses |
||
|
34B40 |
无穷区间上的边值问题 |
Boundary value problems on infinite intervals |
||
|
34B45 |
图和网络上的边值问题 |
Boundary value problems on graphs and networks |
||
|
34B60 |
应用 |
Applications |
||
|
34B99 |
其它 |
None of the above, but in this section |
||
|
34Cxx |
定性理论[参见37-XX] |
Qualitative theory [See also 37-XX] |
||
|
34C05 |
积分曲线的位置, 奇异点, 极限环 |
Location of integral curves, singular points, limit cycles |
||
|
34C07 |
多项式和解析向量场的极限环理论(存在性, 唯一性, 边界, Hilbert第16问题和分歧) |
Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert’s 16th problem and ramifications) |
||
|
34C08 |
与实代数几何的联系(fewnomials、非奇异化、Abel积分零点等) |
Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) |
||
|
34C10 |
振荡理论, 零点, 不共轭性和比较理论 |
Oscillation theory, zeros, disconjugacy and comparison theory |
||
|
34C11 |
增长性、有界性 |
Growth, boundedness |
||
|
34C12 |
单调系统 |
Monotone systems |
||
|
34C14 |
对称性, 不变量 |
Symmetries, invariants |
||
|
34C15 |
非线性振荡, 耦合振子 |
Nonlinear oscillations, coupled oscillators |
||
|
34C20 |
方程和方程组的变换和约化, 正规型 |
Transformation and reduction of equations and systems, normal forms |
||
|
34C23 |
分歧[主要见37Gxx] |
Bifurcation [See mainly 37Gxx] |
||
|
34C25 |
周期解 |
Periodic solutions |
||
|
34C26 |
松弛振荡 |
Relaxation oscillations |
||
|
34C27 |
殆周期解和伪殆周期解 |
Almost and pseudoalmost periodic solutions |
||
|
34C28 |
复性态, 混沌系统[参见37Dxx] |
Complex behavior, chaotic systems [See also 37Dxx] |
||
|
34C29 |
平均方法 |
Averaging method |
||
|
34C37 |
同宿解和异宿解 |
Homoclinic and heteroclinic solutions |
||
|
34C40 |
流形上的方程及系统 |
Equations and systems on manifolds |
||
|
34C41 |
等价性, 渐近等价 |
Equivalence, asymptotic equivalence |
||
|
34C45 |
不变流形 |
Invariant manifolds |
||
|
34C46 |
多频系统 |
Multifrequency systems |
||
|
34C55 |
滞后 |
Hysteresis |
||
|
34C60 |
定性研究和模型仿真 |
Qualitative investigation and simulation of models |
||
|
34C99 |
其它 |
None of the above, but in this section |
||
|
34Dxx |
稳定性理论[参见37C75, 93Dxx] |
Stability theory [See also 37C75, 93Dxx] |
||
|
34D05 |
渐近性质 |
Asymptotic properties |
||
|
34D06 |
同步 |
Synchronization |
||
|
34D08 |
特征和Liapunov指数 |
Characteristic and Lyapunov exponents |
||
|
34D09 |
二分法, 三分法 |
Dichotomy, trichotomy |
||
|
34D10 |
摄动 |
Perturbations |
||
|
34D15 |
奇摄动 |
Singular perturbations |
||
|
34D20 |
稳定性 |
Stability |
||
|
34D23 |
全局稳定性 |
Global stability |
||
|
34D30 |
结构稳定性与模拟概念[参见37C20] |
Structural stability and analogous concepts [See also 37C20] |
||
|
34D35 |
解流形的稳定性 |
Stability of manifolds of solutions |
||
|
34D45 |
吸引子[参见37C30, 37D45] |
Attractors [See also 37C70, 37D45] |
||
|
34D99 |
其它 |
None of the above, but in this section |
||
|
34Exx |
渐近理论 |
Asymptotic theory |
||
|
34E05 |
渐近展开 |
Asymptotic expansions |
||
|
34E10 |
摄动, 渐近 |
Perturbations, asymptotics |
||
|
34E13 |
多重尺度法 |
Multiple scale methods |
||
|
34E15 |
奇摄动, 一般理论 |
Singular perturbations, general theory |
||
|
34E17 |
鸭解 |
Canard solutions |
||
|
34E18 |
非标准分析法 |
Methods of nonstandard analysis |
||
|
34E20 |
奇摄动, 转向点理论, WKB方法 |
Singular perturbations, turning point theory, WKB methods |
||
|
34E99 |
其它 |
None of the above, but in this section |
||
|
34Fxx |
随机性的方程与方程组[参见34K50, 60H10, 93E03] |
Equations and systems with randomness [See also 34K50, 60H10, 93E03] |
||
|
34F05 |
随机性的方程与方程组[参见34K50, 60H10, 93E03] |
Equations and systems with randomness [See also 34K50, 60H10, 93E03] |
||
|
34F10 |
分歧 |
Bifurcation |
||
|
34F15 |
共振现象 |
Resonance phenomena |
||
|
34F99 |
其它 |
None of the above, but in this section |
||
|
34Gxx |
抽象空间中的微分方程[参见34Lxx, 37Kxx, 47Dxx, 47Hxx, 47Jxx, 58D25] |
Differential equations in abstract spaces [See also 34Lxx, 37Kxx, 47Dxx, 47Hxx, 47Jxx, 58D25] |
||
|
34G10 |
线性方程[参见47D06, 47D09] |
Linear equations [See also 47D06, 47D09] |
||
|
34G20 |
非线性方程[参见47Hxx, 47Jxx] |
Nonlinear equations [See also 47Hxx, 47Jxx] |
||
|
34G25 |
发展包含 |
Evolution inclusions |
||
|
34G99 |
其它 |
None of the above, but in this section |
||
|
34Hxx |
控制问题[参见49J15, 49K15, 93C15] |
Control problems [See also 49J15, 49K15, 93C15] |
||
|
34H05 |
控制问题[参见49J15, 49K15, 93C15] |
Control problems [See also 49J15, 49K15, 93C15] |
||
|
34H10 |
混沌控制 |
Chaos control |
||
|
34H15 |
稳定化 |
Stabilization |
||
|
34H20 |
分歧控制 |
Bifurcation control |
||
|
34H99 |
其它 |
None of the above, but in this section |
||
|
34Kxx |
泛函-微分与微分-差分方程[参见37-XX] |
Functional-differential and differential-difference equations [See also 37-XX] |
||
|
34K05 |
一般理论 |
General theory |
||
|
34K06 |
线性泛函-微分方程 |
Linear functional-differential equations |
||
|
34K07 |
解的理论逼近 |
Theoretical approximation of solutions |
||
|
34K08 |
泛函微分算子的谱理论 |
Spectral theory of functional-differential operators |
||
|
34K09 |
泛函微分包含 |
Functional-differential inclusions |
||
|
34K10 |
边值问题 |
Boundary value problems |
||
|
34K11 |
振荡理论 |
Oscillation theory |
||
|
34K12 |
解的增长性, 有界性, 比较 |
Growth, boundedness, comparison of solutions |
||
|
34K13 |
周期解 |
Periodic solutions |
||
|
34K14 |
殆周期解及伪周期解 |
Almost and pseudoperiodic solutions |
||
|
34K17 |
方程和方程组的变换和简化, 标准型 |
Transformation and reduction of equations and systems, normal forms |
||
|
34K18 |
分歧理论 |
Bifurcation theory |
||
|
34K19 |
不变流形 |
Invariant manifolds |
||
|
34K20 |
稳定性理论 |
Stability theory |
||
|
34K21 |
稳态解 |
Stationary solutions |
||
|
34K23 |
解的复(混沌)特性 |
Complex (chaotic) behavior of solutions |
||
|
34K25 |
渐近理论 |
Asymptotic theory |
||
|
34K26 |
奇摄动 |
Singular perturbations |
||
|
34K27 |
摄动 |
Perturbations |
||
|
34K28 |
解的数值逼近 |
Numerical approximation of solutions |
||
|
34K29 |
逆问题 |
Inverse problems |
||
|
34K30 |
抽象空间中的方程[参见34Gxx, 35R09, 35R10, 47Jxx] |
Equations in abstract spaces [See also 34Gxx, 35R09, 35R10, 47Jxx] |
||
|
34K31 |
格泛函微分方程 |
Lattice functional-differential equations |
||
|
34K32 |
隐式方程 |
Implicit equations |
||
|
34K33 |
平均 |
Averaging |
||
|
34K34 |
混合系统 |
Hybrid systems |
||
|
34K35 |
控制问题[参见49J21, 49K21, 93C23] |
Control problems [See also 49J21, 49K21, 93C23] |
||
|
34K36 |
模糊泛函微分方程 |
Fuzzy functional-differential equations |
||
|
34K37 |
具有分数导数的泛函微分方程 |
Functional-differential equations with fractional derivatives |
||
|
34K38 |
泛函微分不等式 |
Functional-differential inequalities |
||
|
34K40 |
中立型方程 |
Neutral equations |
||
|
34K45 |
具有脉冲的方程 |
Equations with impulses |
||
|
34K50 |
随机泛函-微分方程[参见60Hxx] |
Stochastic functional-differential equations [See also 60Hxx] |
||
|
34K60 |
定性分析和模型仿真 |
Qualitative investigation and simulation of models |
||
|
34K99 |
其它 |
None of the above, but in this section |
||
|
34Lxx |
常微分算子[参见47E05] |
Ordinary differential operators [See also 47E05] |
||
|
34L05 |
一般谱论 |
General spectral theory |
||
|
34L10 |
特征函数, 特征函数展开, 特征函数的完备性 |
Eigenfunction, eigenfunction expansions, completeness of eigenfunctions |
||
|
34L15 |
特征值, 特征值的估计, 上界与下界 |
Eigenvalues, estimation of eigenvalues, upper and lower bounds |
||
|
34L16 |
特征值与谱的其它部分的数值逼近 |
Numerical approximation of eigenvalues and of other parts of the spectrum |
||
|
34L20 |
特征值的渐近分布, 特征函数的渐近理论 |
Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions |
||
|
34L25 |
散射理论, 逆散射 |
Scattering theory, inverse scattering |
||
|
34L30 |
非线性常微分算子 |
Nonlinear ordinary differential operators |
||
|
34L40 |
特殊算子(Dirac、一维Schrödinger等) |
Particular operators (Dirac, one-dimensional Schrödinger, etc.) |
||
|
34L99 |
其它 |
None of the above, but in this section |
||
|
34Mxx |
复域中的微分方程[参见30Dxx, 32G34] |
Differential equations in the complex domain [See also 30Dxx, 32G34] |
||
|
34M03 |
线性方程和方程组 |
Linear equations and systems |
||
|
34M05 |
整解和亚纯解 |
Entire and meromorphic solutions |
||
|
34M10 |
解的振荡和增长 |
Oscillation, growth of solutions |
||
|
34M15 |
代数方面(微分-代数, 超超越性, 群理论) |
Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) |
||
|
34M25 |
形式解, 变换技巧 |
Formal solutions, transform techniques |
||
|
34M30 |
渐近性, 求和法 |
Asymptotics, summation methods |
||
|
34M35 |
解的奇异性、单值[性]、局部性态, 标准型 |
Singularities, monodromy, local behavior of solutions, normal forms |
||
|
34M40 |
Stokes现象和联络问题(线性和非线性) |
Stokes phenomena and connection problems (linear and nonlinear) |
||
|
34M45 |
复流形上的微分方程 |
Differential equations on complex manifolds |
||
|
34M50 |
逆问题(Riemann-Hilbert、逆微分Galois等) |
Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) |
||
|
34M55 |
Painlevé和其它特殊方程; 分类, 谱系 |
Painlevé and other special equations; classification, hierarchies |
||
|
34M56 |
等单值形变 |
Isomonodromic deformations |
||
|
34M60 |
复域中的奇摄动问题(复WKB, 转向点, 最速下降)[参见34E20] |
Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent) [See also 34E20] |
||
|
34M99 |
其它 |
None of the above, but in this section |
||
|
34Nxx |
时间尺度或测度链上的动力学方程(时间尺度上的实分析, 见26E70) |
Dynamic equations on time scales or measure chains (For real analysis on time scales see 26E70) |
||
|
34N05 |
时间尺度或测度链上的动力学方程 (时间尺度上的实分析, 见 26E70) |
Dynamic equations on time scales or measure chains (For real analysis on time scales, see 26E70) |
||
|
34N99 |
其它 |
None of the above, but in this section |
||
|
35-XX |
偏微分方程 |
Partial differential equations |
||
|
35-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
35-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
35-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
35-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
35-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
35-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
35Axx |
一般课题 |
General topics |
||
|
35A01 |
存在性问题: 全局存在性, 局部存在性, 不存在性 |
Existence problems: global existence, local existence, nonexistence |
||
|
35A02 |
唯一性问题: 全局唯一性, 局部唯一性, 不唯一性 |
Uniqueness problems: global uniqueness, local uniqueness, nonuniqueness |
||
|
35A08 |
基本解 |
Fundamental solutions |
||
|
35A09 |
经典解 |
Classical solutions |
||
|
35A10 |
Cauchy-Kovalevskaya定理 |
Cauchy-Kovalevskaya theorems |
||
|
35A15 |
变分法 |
Variational methods |
||
|
35A16 |
拓扑和单调性方法 |
Topological and monotonicity methods |
||
|
35A17 |
参数的 |
Parametrices |
||
|
35A18 |
波前集 |
Wave front sets |
||
|
35A20 |
解析方法, 奇异性 |
Analytic methods, singularities |
||
|
35A21 |
奇异性的传播 |
Propagation of singularities |
||
|
35A22 |
变换方法(例如: 积分变换) |
Transform methods (e.g. integral transforms) |
||
|
35A23 |
涉及导数、微分及积分算子的不等式, 积分不等式 |
Inequalities involving derivatives and differential and integral operators, inequalities for integrals |
||
|
35A24 |
常微分方程的方法 |
Methods of ordinary differential equations |
||
|
35A25 |
其它特殊方法 |
Other special methods |
||
|
35A27 |
微局部方法; 偏微分方程中同调代数与层理论方法[参见32C38, 58J15] |
Microlocal methods; methods of sheaf theory and homological algebra in PDE [See also 32C38, 58J15] |
||
|
35A30 |
几何理论, 特征, 变换[参见58J70, 58J72] |
Geometric theory, characteristics, transformations [See also 58J70, 58J72] |
||
|
35A35 |
解的理论逼近(数值分析, 见65Mxx, 65Nxx) |
Theoretical approximation to solutions (For numerical analysis, see 65Mxx, 65Nxx) |
||
|
35A99 |
其它 |
None of the above, but in this section |
||
|
35Bxx |
解的定性性质 |
Qualitative properties of solutions |
||
|
35B05 |
振荡、解的零点、均值定理等 |
Oscillation, zeros of solutions, mean value theorems, etc. |
||
|
35B06 |
对称、不变量等 |
Symmetries, invariants, etc. |
||
|
35B07 |
轴对称解 |
Axially symmetric solutions |
||
|
35B08 |
整解 |
Entire solutions |
||
|
35B09 |
正解 |
Positive solutions |
||
|
35B10 |
周期解 |
Periodic solutions |
||
|
35B15 |
殆周期解及伪殆周期解 |
Almost and pseudo-almost periodic solutions |
||
|
35B20 |
摄动 |
Perturbations |
||
|
35B25 |
奇摄动 |
Singular perturbations |
||
|
35B27 |
齐性化; 带有周期结构媒介中的方程[参见74Qxx, 76M50] |
Homogenization; equations in media with periodic structure [See also 74Qxx, 76M50] |
||
|
35B30 |
依赖于初始和边界数据、参数的解[参见37Cxx] |
Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] |
||
|
35B32 |
分歧[参见37Gxx, 37K50] |
Bifurcation [See also 37Gxx, 37K50] |
||
|
35B33 |
临界指数 |
Critical exponents |
||
|
35B34 |
共振 |
Resonances |
||
|
35B35 |
稳定性 |
Stability |
||
|
35B36 |
模式形成 |
Pattern formation |
||
|
35B38 |
临界点 |
Critical points |
||
|
35B40 |
解的渐近特性 |
Asymptotic behavior of solutions |
||
|
35B41 |
吸引子 |
Attractors |
||
|
35B42 |
惯性流形 |
Inertial manifolds |
||
|
35B44 |
爆破 |
Blow-up |
||
|
35B45 |
先验估计 |
A priori estimates |
||
|
35B50 |
极大值原理 |
Maximum principles |
||
|
35B51 |
比较原理 |
Comparison principles |
||
|
35B53 |
Liouville定理, Phragmén-Lindelöf定理 |
Liouville theorems, Phragmén-Lindelöf theorems |
||
|
35B60 |
解的连续与延拓[参见58A15, 58A17, 58Hxx] |
Continuation and prolongation of solutions [See also 58A15, 58A17, 58Hxx] |
||
|
35B65 |
解的光滑性和正则性 |
Smoothness and regularity of solutions |
||
|
35B99 |
其它 |
None of the above, but in this section |
||
|
35Cxx |
解的表示 |
Representations of solutions |
||
|
35C05 |
闭型解 |
Solutions in closed form |
||
|
35C06 |
自相似解 |
Self-similar solutions |
||
|
35C07 |
行波解 |
Traveling wave solutions |
||
|
35C08 |
孤子解 |
Soliton solutions |
||
|
35C09 |
三角解 |
Trigonometric solutions |
||
|
35C10 |
级数解 |
Series solutions |
||
|
35C11 |
多项式解 |
Polynomial solutions |
||
|
35C15 |
解的积分表示 |
Integral representations of solutions |
||
|
35C20 |
渐近展开 |
Asymptotic expansions |
||
|
35C99 |
其它 |
None of the above, but in this section |
||
|
35Dxx |
广义解 |
Generalized solutions |
||
|
35D30 |
弱解 |
Weak solutions |
||
|
35D35 |
强解 |
Strong solutions |
||
|
35D40 |
粘性解 |
Viscosity solutions |
||
|
35D99 |
其它 |
None of the above, but in this section |
||
|
35Exx |
带常系数的方程与方程组[参见35N05] |
Equations and systems with constant coefficients [See also 35N05] |
||
|
35E05 |
基本解 |
Fundamental solutions |
||
|
35E10 |
凸性性质 |
Convexity properties |
||
|
35E15 |
初值问题 |
Initial value problems |
||
|
35E20 |
一般理论 |
General theory |
||
|
35E99 |
其它 |
None of the above, but in this section |
||
|
35Fxx |
一般一阶方程与方程组 |
General first-order equations and systems |
||
|
35F05 |
一阶线性方程 |
Linear first-order equations |
||
|
35F10 |
一阶线性方程的初值问题 |
Initial value problems for linear first-order equations |
||
|
35F15 |
一阶线性方程的边值问题 |
Boundary value problems for linear first-order equations |
||
|
35F16 |
一阶线性方程的初-边值问题 |
Initial-boundary value problems for linear first-order equations |
||
|
35F20 |
一阶非线性方程 |
Nonlinear first-order equations |
||
|
35F21 |
Hamilton-Jacobi方程 |
Hamilton-Jacobi equations |
||
|
35F25 |
一阶非线性方程的初值问题 |
Initial value problems for nonlinear first-order equations |
||
|
35F30 |
一阶非线性方程的边值问题 |
Boundary value problems for nonlinear first-order equations |
||
|
35F31 |
一阶非线性方程的初-边值问题 |
Initial-boundary value problems for nonlinear first-order equations |
||
|
35F35 |
一阶线性方程组 |
Linear first-order systems |
||
|
35F40 |
一阶线性方程组的初值问题 |
Initial value problems for linear first-order systems |
||
|
35F45 |
一阶线性方程组的边值问题 |
Boundary value problems for linear first-order systems |
||
|
35F46 |
一阶线性方程组的初-边值问题 |
Initial-boundary value problems for linear first-order systems |
||
|
35F50 |
一阶非线性方程组 |
Nonlinear first-order systems |
||
|
35F55 |
一阶非线性方程组的初值问题 |
Initial value problems for nonlinear first-order systems |
||
|
35F60 |
一阶非线性方程组的边值问题 |
Boundary value problems for nonlinear first-order systems |
||
|
35F61 |
一阶非线性方程组的初-边值问题 |
Initial-boundary value problems for nonlinear first-order systems |
||
|
35F99 |
其它 |
None of the above, but in this section |
||
|
35Gxx |
一般高阶方程与方程组 |
General higher-order equations and systems |
||
|
35G05 |
高阶线性方程 |
Linear higher-order equations |
||
|
35G10 |
高阶线性方程的初值问题 |
Initial value problems for linear higher-order equations |
||
|
35G15 |
高阶线性方程的边值问题 |
Boundary value problems for linear higher-order equations |
||
|
35G16 |
高阶线性方程的初-边值问题 |
Initial-boundary value problems for linear higher-order equations |
||
|
35G20 |
高阶非线性方程 |
Nonlinear higher-order equations |
||
|
35G25 |
高阶非线性方程的初值问题 |
Initial value problems for nonlinear higher-order equations |
||
|
35G30 |
高阶非线性方程的边值问题 |
Boundary value problems for nonlinear higher-order equations |
||
|
35G31 |
高阶非线性方程的初-边值问题 |
Initial-boundary value problems for nonlinear higher-order equations |
||
|
35G35 |
高阶线性方程组 |
Linear higher-order systems |
||
|
35G40 |
高阶线性方程组的初值问题 |
Initial value problems for linear higher-order systems |
||
|
35G45 |
高阶线性方程组的边值问题 |
Boundary value problems for linear higher-order systems |
||
|
35G46 |
高阶线性方程组的初-边值问题 |
Initial-boundary value problems for linear higher-order systems |
||
|
35G50 |
高阶非线性方程组 |
Nonlinear higher-order systems |
||
|
35G55 |
高阶非线性方程组的初值问题 |
Initial value problems for nonlinear higher-order systems |
||
|
35G60 |
高阶非线性方程组的边值问题 |
Boundary value problems for nonlinear higher-order systems |
||
|
35G61 |
高阶非线性方程组的初-边值问题 |
Initial-boundary value problems for nonlinear higher-order systems |
||
|
35G99 |
其它 |
None of the above, but in this section |
||
|
35Hxx |
封闭-椭圆型方程与方程组 |
Close-to-elliptic equations and systems |
||
|
35H10 |
超椭圆型方程 |
Hypoelliptic equations |
||
|
35H20 |
次椭圆型方程 |
Subelliptic equations |
||
|
35H30 |
拟椭圆型方程 |
Quasi-elliptic equations |
||
|
35H99 |
其它 |
None of the above, but in this section |
||
|
35Jxx |
椭圆型方程和方程组[参见58J10, 58J20] |
Elliptic equations and systems [See also 58J10, 58J20] |
||
|
35J05 |
Laplace方程, 约化波动方程(Helmholtz方程), Poisson方程[参见31Axx, 31Bxx] |
Laplace equation, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx] |
||
|
35J08 |
Green函数 |
Green’s functions |
||
|
35J10 |
Schrödinger算子[参见35Pxx] |
Schrödinger operator [See also 35Pxx] |
||
|
35J15 |
二阶椭圆型方程 |
Second-order elliptic equations |
||
|
35J20 |
二阶椭圆型方程的变分法 |
Variational methods for second-order elliptic equations |
||
|
35J25 |
二阶椭圆型方程的边值问题 |
Boundary value problems for second-order elliptic equations |
||
|
35J30 |
高阶椭圆型方程[参见31A30, 31B30] |
Higher-order elliptic equations [See also 31A30, 31B30] |
||
|
35J35 |
高阶椭圆型方程的变分法 |
Variational methods for higher-order elliptic equations |
||
|
35J40 |
高阶椭圆型方程的边值问题 |
Boundary value problems for higher-order elliptic equations |
||
|
35J46 |
一阶椭圆型方程组 |
First-order elliptic systems |
||
|
35J47 |
二阶椭圆型方程组 |
Second-order elliptic systems |
||
|
35J48 |
高阶椭圆型方程组 |
Higher-order elliptic systems |
||
|
35J50 |
椭圆型方程组的变分法 |
Variational methods for elliptic systems |
||
|
35J56 |
一阶椭圆型方程组的边值问题 |
Boundary value problems for first-order elliptic systems |
||
|
35J57 |
二阶椭圆型方程组的边值问题 |
Boundary value problems for second-order elliptic systems |
||
|
35J58 |
高阶椭圆型方程组的边值问题 |
Boundary value problems for higher-order elliptic systems |
||
|
35J60 |
非线性椭圆型方程 |
Nonlinear elliptic equations |
||
|
35J61 |
半线性椭圆型方程 |
Semilinear elliptic equations |
||
|
35J62 |
拟线性椭圆型方程 |
Quasilinear elliptic equations |
||
|
35J65 |
线性椭圆型方程的非线性边值问题 |
Nonlinear boundary value problems for linear elliptic equations |
||
|
35J66 |
非线性椭圆型方程的非线性边值问题 |
Nonlinear boundary value problems for nonlinear elliptic equations |
||
|
35J67 |
椭圆型方程解的边值问题 |
Boundary values of solutions to elliptic equations |
||
|
35J70 |
退化椭圆型方程 |
Degenerate elliptic equations |
||
|
35J75 |
奇异椭圆型方程 |
Singular elliptic equations |
||
|
35J86 |
线性椭圆型单侧问题和线性椭圆型变分不等式[参见35R35, 49J40] |
Linear elliptic unilateral problems and linear elliptic variational inequalities [See also 35R35, 49J40] |
||
|
35J87 |
非线性椭圆型单侧问题和非线性椭圆型变分不等式[参见35R35, 49J40] |
Nonlinear elliptic unilateral problems and nonlinear elliptic variational inequalities [See also 35R35, 49J40] |
||
|
35J88 |
椭圆型变分不等式系统[参见35R35, 49J40] |
Systems of elliptic variational inequalities [See also 35R35, 49J40] |
||
|
35J91 |
具有Laplace, 双-Laplace或多-Laplace算子的半线性椭圆型方程 |
Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian |
||
|
35J92 |
具有p-Laplace算子的拟线性椭圆型方程 |
Quasilinear elliptic equations with p-Laplacian |
||
|
35J93 |
具有平均曲率算子的拟线性椭圆型方程 |
Quasilinear elliptic equations with mean curvature operator |
||
|
35J96 |
椭圆型Monge-Ampére方程 |
Elliptic Monge-Ampére equations |
||
|
35J99 |
其它 |
None of the above, but in this section |
||
|
35Kxx |
抛物型方程与方程组[参见35Bxx, 35Dxx, 35R30, 35R35, 58J35] |
Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] |
||
|
35K05 |
热方程 |
Heat equation |
||
|
35K08 |
热核 |
Heat kernel |
||
|
35K10 |
二阶抛物型方程 |
Second-order parabolic equations |
||
|
35K15 |
二阶抛物型方程的初值问题 |
Initial value problems for second-order parabolic equations |
||
|
35K20 |
二阶抛物型方程的初-边值问题 |
Initial-boundary value problems for second-order parabolic equations |
||
|
35K25 |
高阶抛物型方程 |
Higher-order parabolic equations |
||
|
35K30 |
高阶抛物型方程的初值问题 |
Initial value problems for higher-order parabolic equations |
||
|
35K35 |
高阶抛物型方程的初-边值问题 |
Initial-boundary value problems for higher-order parabolic equations |
||
|
35K40 |
二阶抛物型方程组 |
Second-order parabolic systems |
||
|
35K41 |
高阶抛物型方程组 |
Higher-order parabolic systems |
||
|
35K45 |
二阶抛物型方程组的初值问题 |
Initial value problems for second-order parabolic systems |
||
|
35K46 |
高阶抛物型方程组的初值问题 |
Initial value problems for higher-order parabolic systems |
||
|
35K51 |
二阶抛物型方程组的初-边值问题 |
Initial-boundary value problems for second-order parabolic systems |
||
|
35K52 |
高阶抛物型方程组的初-边值问题 |
Initial-boundary value problems for higher-order parabolic systems |
||
|
35K55 |
非线性抛物型方程 |
Nonlinear parabolic equations |
||
|
35K57 |
反应-扩散方程 |
Reaction-diffusion equations |
||
|
35K58 |
半线性抛物型方程 |
Semilinear parabolic equations |
||
|
35K59 |
拟线性抛物型方程 |
Quasilinear parabolic equations |
||
|
35K60 |
线性抛物型方程的非线性初值问题 |
Nonlinear initial value problems for linear parabolic equations |
||
|
35K61 |
非线性抛物型方程的非线性初-边值问题 |
Nonlinear initial-boundary value problems for nonlinear parabolic equations |
||
|
35K65 |
退化抛物型方程 |
Degenerate parabolic equations |
||
|
35K67 |
奇异抛物型方程 |
Singular parabolic equations |
||
|
35K70 |
超抛物型方程、伪抛物型方程等 |
Ultraparabolic equations, pseudoparabolic equations, etc. |
||
|
35K85 |
线性抛物型单侧问题和线性抛物型变分不等式[参见35R35, 49J40] |
Linear parabolic unilateral problems and linear parabolic variational inequalities [See also 35R35, 49J40] |
||
|
35K86 |
非线性抛物型单侧问题和非线性抛物型变分不等式[参见35R35, 49J40] |
Nonlinear parabolic unilateral problems and nonlinear parabolic variational inequalities [See also 35R35, 49J40] |
||
|
35K87 |
抛物型变分不等式系统[参见35R35, 49J40] |
Systems of parabolic variational inequalities [See also 35R35, 49J40] |
||
|
35K90 |
抽象抛物型方程 |
Abstract parabolic equations |
||
|
35K91 |
具有Laplace、双-Laplace或多-Laplace算子的半线性抛物型方程 |
Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian |
||
|
35K92 |
具有p-Laplace算子的拟线性抛物型方程 |
Quasilinear parabolic equations with p-Laplacian |
||
|
35K93 |
具有平均曲率算子的拟线性抛物型方程 |
Quasilinear parabolic equations with mean curvature operator |
||
|
35K96 |
抛物型Monge-Ampére方程 |
Parabolic Monge-Ampére equations |
||
|
35K99 |
其它 |
None of the above, but in this section |
||
|
35Lxx |
双曲型方程和方程组[参见58J45] |
Hyperbolic equations and systems [See also 58J45] |
||
|
35L02 |
一阶双曲型方程 |
First-order hyperbolic equations |
||
|
35L03 |
一阶双曲型方程的初值问题 |
Initial value problems for first-order hyperbolic equations |
||
|
35L04 |
一阶双曲型方程的初-边值问题 |
Initial-boundary value problems for first-order hyperbolic equations |
||
|
35L05 |
波动方程 |
Wave equation |
||
|
35L10 |
二阶双曲型方程 |
Second-order hyperbolic equations |
||
|
35L15 |
二阶双曲型方程的初值问题 |
Initial value problems for second-order hyperbolic equations |
||
|
35L20 |
二阶双曲型方程的初-边值问题 |
Initial-boundary value problems for second-order hyperbolic equations |
||
|
35L25 |
高阶双曲型方程 |
Higher-order hyperbolic equations |
||
|
35L30 |
高阶双曲型方程的初值问题 |
Initial value problems for higher-order hyperbolic equations |
||
|
35L35 |
高阶双曲型方程的初-边值问题 |
Initial-boundary value problems for higher-order hyperbolic equations |
||
|
35L40 |
一阶双曲型方程组 |
First-order hyperbolic systems |
||
|
35L45 |
一阶双曲型方程组的初值问题 |
Initial value problems for first-order hyperbolic systems |
||
|
35L50 |
一阶双曲型方程组的初-边值问题 |
Initial-boundary value problems for first-order hyperbolic systems |
||
|
35L51 |
二阶双曲型方程组 |
Second-order hyperbolic systems |
||
|
35L52 |
二阶双曲型方程组的初值问题 |
Initial value problems for second-order hyperbolic systems |
||
|
35L53 |
二阶双曲型方程组的初-边值问题 |
Initial-boundary value problems for second-order hyperbolic systems |
||
|
35L55 |
高阶双曲型方程组 |
Higher-order hyperbolic systems |
||
|
35L56 |
高阶双曲型方程组的初值问题 |
Initial value problems for higher-order hyperbolic systems |
||
|
35L57 |
高阶双曲型方程组的初-边值问题 |
Initial-boundary value problems for higher-order hyperbolic systems |
||
|
35L60 |
一阶非线性双曲型方程 |
Nonlinear first-order hyperbolic equations |
||
|
35L65 |
守恒律 |
Conservation laws |
||
|
35L67 |
激波和奇异性[参见58Kxx, 76L05] |
Shocks and singularities [See also 58Kxx, 76L05] |
||
|
35L70 |
二阶非线性双曲型方程 |
Nonlinear second-order hyperbolic equations |
||
|
35L71 |
二阶半线性双曲型方程 |
Semilinear second-order hyperbolic equations |
||
|
35L72 |
二阶拟线性双曲型方程 |
Quasilinear second-order hyperbolic equations |
||
|
35L75 |
高阶非线性双曲型方程 |
Nonlinear higher-order hyperbolic equations |
||
|
35L76 |
高阶半线性双曲型方程 |
Semilinear higher-order hyperbolic equations |
||
|
35L77 |
高阶拟线性双曲型方程 |
Quasilinear higher-order hyperbolic equations |
||
|
35L80 |
退化双曲型方程 |
Degenerate hyperbolic equations |
||
|
35L81 |
奇异双曲型方程 |
Singular hyperbolic equations |
||
|
35L82 |
伪双曲型方程 |
Pseudohyperbolic equations |
||
|
35L85 |
线性双曲型单侧问题和线性双曲型变分不等式[参见35R35, 49J40] |
Linear hyperbolic unilateral problems and linear hyperbolic variational inequalities [See also 35R35, 49J40] |
||
|
35L86 |
非线性双曲型单侧问题和非线性双曲型变分不等式[参见35R35, 49J40] |
Nonlinear hyperbolic unilateral problems and nonlinear hyperbolic variational inequalities [See also 35R35, 49J40] |
||
|
35L87 |
双曲型方程组的单侧问题和变分不等式[参见35R35, 49J40] |
Unilateral problems and variational inequalities for hyperbolic systems [See also 35R35, 49J40] |
||
|
35L90 |
抽象双曲型方程 |
Abstract hyperbolic equations |
||
|
35L99 |
其它 |
None of the above, but in this section |
||
|
35Mxx |
特殊类型的方程和方程组(混合、复合等) |
Equations and systems of special type (mixed, composite, etc.) |
||
|
35M10 |
混合型方程 |
Equations of mixed type |
||
|
35M11 |
混合型方程的初值问题 |
Initial value problems for equations of mixed type |
||
|
35M12 |
混合型方程的边值问题 |
Boundary value problems for equations of mixed type |
||
|
35M13 |
混合型方程的初-边值问题 |
Initial-boundary value problems for equations of mixed type |
||
|
35M30 |
混合型方程组 |
Systems of mixed type |
||
|
35M31 |
混合型方程组的初值问题 |
Initial value problems for systems of mixed type |
||
|
35M32 |
混合型方程组的边值问题 |
Boundary value problems for systems of mixed type |
||
|
35M33 |
混合型方程组的初-边值问题 |
Initial-boundary value problems for systems of mixed type |
||
|
35M85 |
混合型线性单侧问题和变分不等式[参见35R35, 49J40] |
Linear unilateral problems and variational inequalities of mixed type [See also 35R35, 49J40] |
||
|
35M86 |
混合型非线性单侧问题和非线性变分不等式[参见35R35, 49J40] |
Nonlinear unilateral problems and nonlinear variational inequalities of mixed type [See also 35R35, 49J40] |
||
|
35M87 |
混合型变分不等式系统[参见35R35, 49J40] |
Systems of variational inequalities of mixed type [See also 35R35, 49J40] |
||
|
35M99 |
其它 |
None of the above, but in this section |
||
|
35Nxx |
超定组[参见58Hxx, 58J10, 58J15] |
Overdetermined systems [See also 58Hxx, 58J10, 58J15] |
||
|
35N05 |
常系数超定组 |
Overdetermined systems with constant coefficients |
||
|
35N10 |
变系数超定组 |
Overdetermined systems with variable coefficients |
||
|
35N15 |
-Neumann问题及推广; 形式复形[参见32W05, 32W10, 58J10] |
-Neumann problem and generalizations; formal complexes [See also 32W05, 32W10, 58J10] |
||
|
35N20 |
超定初值问题 |
Overdetermined initial value problems |
||
|
35N25 |
超定边值问题 |
Overdetermined boundary value problems |
||
|
35N30 |
超定初-边值问题 |
Overdetermined initial-boundary value problems |
||
|
35N99 |
其它 |
None of the above, but in this section |
||
|
35Pxx |
谱理论与特征值问题[参见47Axx, 47Bxx, 47F05] |
Spectral theory and eigenvalue problems [See also 47Axx, 47Bxx, 47F05] |
||
|
35P05 |
线性谱理论中的一般课题 |
General topics in linear spectral theory |
||
|
35P10 |
特征函数的完备性, 特征函数展开 |
Completeness of eigenfunctions, eigenfunction expansions |
||
|
35P15 |
特征值的估计, 上界与下界 |
Estimation of eigenvalues, upper and lower bounds |
||
|
35P20 |
特征值与特征函数的渐近分布 |
Asymptotic distribution of eigenvalues and eigenfunctions |
||
|
35P25 |
散射理论[参见47A40] |
Scattering theory [See also 47A40] |
||
|
35P30 |
非线性特征值问题, 非线性谱理论 |
Nonlinear eigenvalue problems, nonlinear spectral theory |
||
|
35P99 |
其它 |
None of the above, but in this section |
||
|
35Qxx |
数理方程及在其它领域的应用[参见35J05, 35J10, 35K05, 35L05] |
Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] |
||
|
35Q05 |
Euler-Poisson-Darboux方程 |
Euler-Poisson-Darboux equations |
||
|
35Q15 |
Riemann-Hilbert问题[参见30E25, 31A25, 31B20] |
Riemann-Hilbert problems [See also 30E25, 31A25, 31B20] |
||
|
35Q20 |
Boltzmann方程 |
Boltzmann equations |
||
|
35Q30 |
Navier-Stokes方程[参见76D05, 76D07, 76N10] |
Navier-Stokes equations [See also 76D05, 76D07, 76N10] |
||
|
35Q31 |
Euler方程[参见76D05, 76D07, 76N10] |
Euler equations [See also 76D05, 76D07, 76N10] |
||
|
35Q35 |
与流体力学有关的偏微分方程 |
PDEs in connection with fluid mechanics |
||
|
35Q40 |
与量子力学有关的偏微分方程 |
PDEs in connection with quantum mechanics |
||
|
35Q41 |
时间依赖的Schrödinger方程, Dirac方程 |
Time-dependent Schrödinger equations, Dirac equations |
||
|
35Q51 |
类孤子方程[参见 37K40] |
Soliton-like equations [See also 37K40] |
||
|
35Q53 |
类KdV方程 (Korteweg-de Vries)[参见37K10] |
KdV-like equations (Korteweg-de Vries) [See also 37K10] |
||
|
35Q55 |
类NLS方程(非线性Schrödinger)[参见37K10] |
NLS-like equations (nonlinear Schrödinger) [See also 37K10] |
||
|
35Q56 |
Ginzburg-Landau方程 |
Ginzburg-Landau equations |
||
|
35Q60 |
与光学和电磁理论有关的偏微分方程 |
PDEs in connection with optics and electromagnetic theory |
||
|
35Q61 |
Maxwell方程 |
Maxwell equations |
||
|
35Q62 |
与统计学有关的偏微分方程 |
PDEs in connection with statistics |
||
|
35Q68 |
与计算机科学有关的偏微分方程 |
PDEs in connection with computer science |
||
|
35Q70 |
与粒子及系统力学有关的偏微分方程 |
PDEs in connection with mechanics of particles and systems |
||
|
35Q74 |
与变形固体力学有关的偏微分方程 |
PDEs in connection with mechanics of deformable solids |
||
|
35Q75 |
与相对论和重力理论有关的偏微分方程 |
PDEs in connection with relativity and gravitational theory |
||
|
35Q76 |
Einstein方程 |
Einstein equations |
||
|
35Q80 |
与经典热力学及热传导有关的偏微分方程 |
PDEs in connection with classical thermodynamics and heat transfer |
||
|
35Q82 |
与统计力学有关的偏微分方程 |
PDEs in connection with statistical mechanics |
||
|
35Q83 |
类Vlasov方程 |
Vlasov-like equations |
||
|
35Q84 |
Fokker-Planck方程 |
Fokker-Planck equations |
||
|
35Q85 |
与天文学及天体物理学有关的偏微分方程 |
PDEs in connection with astronomy and astrophysics |
||
|
35Q86 |
与地球物理学有关的偏微分方程 |
PDEs in connection with geophysics |
||
|
35Q90 |
与数学规划有关的偏微分方程 |
PDEs in connection with mathematical programming |
||
|
35Q91 |
与博弈论, 经济学, 社会学及行为科学有关的偏微分方程 |
PDEs in connection with game theory, economics, social and behavioral sciences |
||
|
35Q92 |
与生物学及其它自然科学有关的偏微分方程 |
PDEs in connection with biology and other natural sciences |
||
|
35Q93 |
与控制和最优化有关的偏微分方程 |
PDEs in connection with control and optimization |
||
|
35Q94 |
与信息和通信有关的偏微分方程 |
PDEs in connection with information and communication |
||
|
35Q99 |
其它 |
None of the above, but in this section |
||
|
35Rxx |
杂题(流形上的方程, 见58Jxx; 解的流形, 见58Bxx; 随机偏微分方程, 参见60H15) |
Miscellaneous topics (For equations on manifolds, see 58Jxx; for manifolds of solutions, see 58Bxx; for stochastic PDEs, see also 60H15) |
||
|
35R01 |
流形上的偏微分方程[参见32Wxx, 53Cxx, 58Jxx] |
Partial differential equations on manifolds [See also 32Wxx, 53Cxx, 58Jxx] |
||
|
35R02 |
图和网络(分支或多边形空间)上的偏微分方程 |
Partial differential equations on graphs and networks (ramified or polygonal spaces) |
||
|
35R03 |
Heisenberg群、Lie群、Carnot群等群上的偏微分方程 |
Partial differential equations on Heisenberg groups, Lie groups, Carnot groups, etc. |
||
|
35R05 |
带有间断系数或数据的偏微分方程 |
Partial differential equations with discontinuous coefficients or data |
||
|
35R06 |
带测度的偏微分方程 |
Partial differential equations with measure |
||
|
35R09 |
积分-偏微分方程[参见45Kxx] |
Integro-partial differential equations [See also 45Kxx] |
||
|
35R10 |
偏泛函-微分方程 |
Partial functional-differential equations |
||
|
35R11 |
分数偏微分方程 |
Fractional partial differential equations |
||
|
35R12 |
脉冲偏微分方程 |
Impulsive partial differential equations |
||
|
35R13 |
模糊偏微分方程 |
Fuzzy partial differential equations |
||
|
35R15 |
无限维(例如: 函数)空间上的偏微分方程(=无穷多变量的偏微分方程)[参见46Gxx, 58D25] |
Partial differential equations on infinite-dimensional (e.g. function) spaces (= PDE in infinitely many variables) [See also 46Gxx, 58D25] |
||
|
35R20 |
偏算子-微分方程(例如: 抽象空间赋值函数有限维空间的偏微分方程)[参见34Gxx, 47A50, 47D03, 47D06, 47D09, 47H20, 47Jxx] |
Partial operator-differential equations (i.e. PDE on finite-dimensional spaces for abstract space valued functions) [See also 34Gxx, 47A50, 47D03, 47D06, 47D09, 47H20, 47Jxx] |
||
|
35R25 |
不适定问题 |
Improperly posed problems |
||
|
35R30 |
逆问题 |
Inverse problems |
||
|
35R35 |
自由边界问题 |
Free boundary problems |
||
|
35R37 |
运动边界问题 |
Moving boundary problems |
||
|
35R45 |
偏微分不等式 |
Partial differential inequalities |
||
|
35R50 |
无限阶的偏微分方程 |
Partial differential equations of infinite order |
||
|
35R60 |
具有随机性的偏微分方程, 随机偏微分方程[参见60H15] |
Partial differential equations with randomness, stochastic partial differential equations [See also 60H15] |
||
|
35R70 |
多值右边的偏微分方程 |
Partial differential equations with multivalued right-hand sides |
||
|
35R99 |
其它 |
None of the above, but in this section |
||
|
35Sxx |
伪微分算子与偏微分算子的其它推广[参见47G30, 58J40] |
Pseudodifferential operators and other generalizations of partial differential operators [See also 47G30, 58J40] |
||
|
35S05 |
伪微分算子 |
Pseudodifferential operators |
||
|
35S10 |
伪微分算子的初值问题 |
Initial value problems for pseudodifferential operators |
||
|
35S11 |
伪微分算子的初-边值问题 |
Initial-boundary value problems for pseudodifferential operators |
||
|
35S15 |
伪微分算子的边值问题 |
Boundary value problems for pseudodifferential operators |
||
|
35S30 |
Fourier积分算子 |
Fourier integral operators |
||
|
35S35 |
拓扑方面: 相交上同调、分层集等[参见32C38, 32S40, 32S60, 58J15] |
Topological aspects: intersection cohomology, stratified sets, etc. [See also 32C38, 32S40, 32S60, 58J15] |
||
|
35S50 |
仿微分算子 |
Paradifferential operators |
||
|
35S99 |
其它 |
None of the above, but in this section |
||
|
37-XX |
动力系统和遍历理论[参见26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] |
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] |
||
|
37-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
37-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
37-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
37-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
37-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
37-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
37Axx |
遍历理论[参见28Dxx] |
Ergodic theory [See also 28Dxx] |
||
|
37A05 |
保测变换 |
Measure-preserving transformations |
||
|
37A10 |
保测变换的单参数连续族 |
One-parameter continuous families of measure-preserving transformations |
||
|
37A15 |
保测变换的一般群[主要见22Fxx] |
General groups of measure-preserving transformations [See mainly 22Fxx] |
||
|
37A17 |
齐次流[参见22Fxx] |
Homogeneous flows [See also 22Fxx] |
||
|
37A20 |
轨道等价性, 余圈, 遍历等价关系 |
Orbit equivalence, cocycles, ergodic equivalence relations |
||
|
37A25 |
遍历性, 混合, 混合速率 |
Ergodicity, mixing, rates of mixing |
||
|
37A30 |
遍历定理, 谱论, Markov算子(算子遍历理论, 主要见47A35) |
Ergodic theorems, spectral theory, Markov operators (For operator ergodic theory, see mainly 47A35) |
||
|
37A35 |
熵和其它不变量, 同构, 分类 |
Entropy and other invariants, isomorphism, classification |
||
|
37A40 |
非奇异(和无穷保测)变换 |
Nonsingular (and infinite-measure preserving) transformations |
||
|
37A45 |
与数论和调和分析的关系[参见11Kxx] |
Relations with number theory and harmonic analysis [See also 11Kxx] |
||
|
37A50 |
与概率论和随机过程的关系[参见60Fxx和60G10] |
Relations with probability theory and stochastic processes [See also 60Fxx and 60G10] |
||
|
37A55 |
与C*-代数理论的关系[主要见46L55] |
Relations with the theory of C*-algebras [See mainly 46L55] |
||
|
37A60 |
统计力学中的动力系统[参见82Cxx] |
Dynamical systems in statistical mechanics [See also 82Cxx] |
||
|
37A99 |
其它 |
None of the above, but in this section |
||
|
37Bxx |
拓扑动力学[参见54H20] |
Topological dynamics [See also 54H20] |
||
|
37B05 |
具有特殊性质的变换和群作用(极小性、远离、邻近等) |
Transformations and group actions with special properties (minimality, distality, proximality, etc.) |
||
|
37B10 |
符号动力学[参见37Cxx, 37Dxx] |
Symbolic dynamics [See also 37Cxx, 37Dxx] |
||
|
37B15 |
细胞自动机[参见68Q80] |
Cellular automata [See also 68Q80] |
||
|
37B20 |
递归概念 |
Notions of recurrence |
||
|
37B25 |
Lyapunov函数和稳定性; 吸引子, 排斥子 |
Lyapunov functions and stability; attractors, repellers |
||
|
37B30 |
指标理论, Morse-Conley指标 |
Index theory, Morse-Conley indices |
||
|
37B35 |
类梯度和递归性态; 孤立(局部-极大)不变集 |
Gradient-like and recurrent behavior; isolated (locally-maximal) invariant sets |
||
|
37B40 |
拓扑熵 |
Topological entropy |
||
|
37B45 |
动力学中的连续统理论 |
Continua theory in dynamics |
||
|
37B50 |
有限型的多维移位, 贴砖动力学 |
Multi-dimensional shifts of finite type, tiling dynamics |
||
|
37B55 |
非自治动力系统 |
Nonautonomous dynamical systems |
||
|
37B99 |
其它 |
None of the above, but in this section |
||
|
37Cxx |
光滑动力系统: 一般理论[参见34Cxx, 34Dxx] |
Smooth dynamical systems: general theory [See also 34Cxx, 34Dxx] |
||
|
37C05 |
光滑映射和微分同胚 |
Smooth mappings and diffeomorphisms |
||
|
37C10 |
向量场, 流, 常微分方程 |
Vector fields, flows, ordinary differential equations |
||
|
37C15 |
拓扑与可微等价性, 共轭, 不变量, 模, 分类 |
Topological and differentiable equivalence, conjugacy, invariants, moduli, classification |
||
|
37C20 |
一般性质, 结构稳定性 |
Generic properties, structural stability |
||
|
37C25 |
不动点, 周期点, 不动点指数理论 |
Fixed points, periodic points, fixed-point index theory |
||
|
37C27 |
向量场和流的周期轨道 |
Periodic orbits of vector fields and flows |
||
|
37C29 |
同宿和异宿轨道 |
Homoclinic and heteroclinic orbits |
||
|
37C30 |
ζ函数, (Ruelle-Frobenius)迁移算子, 动力系统中其它泛函分析方法 |
Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems |
||
|
37C35 |
轨道增长性 |
Orbit growth |
||
|
37C40 |
光滑遍历理论, 不变测度[参见37Dxx] |
Smooth ergodic theory, invariant measures [See also 37Dxx] |
||
|
37C45 |
动力系统的维数理论 |
Dimension theory of dynamical systems |
||
|
37C50 |
近似轨道(伪轨道、 影子等) |
Approximate trajectories (pseudotrajectories, shadowing, etc.) |
||
|
37C55 |
周期和拟周期流与微分同胚 |
Periodic and quasiperiodic flows and diffeomorphisms |
||
|
37C60 |
非自治光滑动力系统[参见37B55] |
Nonautonomous smooth dynamical systems [See also 37B55] |
||
|
37C65 |
单调流 |
Monotone flows |
||
|
37C70 |
吸引子和排斥子, 拓扑结构 |
Attractors and repellers, topological structure |
||
|
37C75 |
稳定性理论 |
Stability theory |
||
|
37C80 |
对称性等变动力系统 |
Symmetries, equivariant dynamical systems |
||
|
37C85 |
群作用在除Z和R及叶状结构以外的动力学[主要见22Fxx, 也见57R30, 57Sxx] |
Dynamics of group actions other than Z and R, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] |
||
|
37C99 |
其它 |
None of the above, but in this section |
||
|
37Dxx |
具有双曲特性的动力系统 |
Dynamical systems with hyperbolic behavior |
||
|
37D05 |
双曲轨道和集合 |
Hyperbolic orbits and sets |
||
|
37D10 |
不变流形理论 |
Invariant manifold theory |
||
|
37D15 |
Morse-Smale系统 |
Morse-Smale systems |
||
|
37D20 |
一致双曲系统(扩张、Anosov、公理A等) |
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) |
||
|
37D25 |
非一致双曲系统(Liapunov指数、Pesin理论等) |
Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) |
||
|
37D30 |
部分双曲系统和受控分裂 |
Partially hyperbolic systems and dominated splittings |
||
|
37D35 |
热力学形式体系, 变分原理, 平衡态 |
Thermodynamic formalism, variational principles, equilibrium states |
||
|
37D40 |
几何原点的动力系统和双曲性(测地流和极限圆流等) |
Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) |
||
|
37D45 |
奇怪吸引子, 混沌动力学 |
Strange attractors, chaotic dynamics |
||
|
37D50 |
具有奇异性的双曲系统(台球等) |
Hyperbolic systems with singularities (billiards, etc.) |
||
|
37D99 |
其它 |
None of the above, but in this section |
||
|
37Exx |
低维动力系统 |
Low-dimensional dynamical systems |
||
|
37E05 |
区间的映射(分段连续, 连续, 光滑) |
Maps of the interval (piecewise continuous, continuous, smooth) |
||
|
37E10 |
圆的映射 |
Maps of the circle |
||
|
37E15 |
组合动力学(周期轨道型) |
Combinatorial dynamics (types of periodic orbits) |
||
|
37E20 |
通用性, 重正规化[参见37F25] |
Universality, renormalization [See also 37F25] |
||
|
37E25 |
树和图的映射 |
Maps of trees and graphs |
||
|
37E30 |
平面和曲面的同胚和微分同胚 |
Homeomorphisms and diffeomorphisms of planes and surfaces |
||
|
37E35 |
曲面上的流 |
Flows on surfaces |
||
|
37E40 |
扭转映射 |
Twist maps |
||
|
37E45 |
旋转数和向量 |
Rotation numbers and vectors |
||
|
37E99 |
其它 |
None of the above, but in this section |
||
|
37Fxx |
复动力系统[参见30D05, 32H50] |
Complex dynamical systems [See also 30D05, 32H50] |
||
|
37F05 |
关系和对应 |
Relations and correspondences |
||
|
37F10 |
多项式; 有理映射; 整函数和亚纯函数[参见32A10, 32A20, 32H02, 32H04] |
Polynomials; rational maps; entire and meromorphic functions [See also 32A10, 32A20, 32H02, 32H04] |
||
|
37F15 |
扩张映射; 双曲性; 结构稳定性 |
Expanding maps; hyperbolicity; structural stability |
||
|
37F20 |
组合学和拓扑学 |
Combinatorics and topology |
||
|
37F25 |
重正规化 |
Renormalization |
||
|
37F30 |
拟共形方法和Teichmüller理论; 作为动力系统的Fuches和Klein群 |
Quasiconformal methods and Teichmüller theory; Fuchsian and Kleinian groups as dynamical systems |
||
|
37F35 |
共形密度和Hausdorff维数 |
Conformal densities and Hausdorff dimension |
||
|
37F40 |
几何极限 |
Geometric limits |
||
|
37F45 |
动力系统的全纯族; Mandelbrot集; 分歧 |
Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations |
||
|
37F50 |
小除子, 旋转域和线性化; Fatou和Julia集 |
Small divisors, rotation domains and linearization; Fatou and Julia sets |
||
|
37F75 |
全纯叶状结构和向量场[参见32M25, 32S65, 34Mxx] |
Holomorphic foliations and vector fields [See also 32M25, 32S65, 34Mxx] |
||
|
37F99 |
其它 |
None of the above, but in this section |
||
|
37Gxx |
局部和非局部分歧理论[参见34C23, 34K18] |
Local and nonlocal bifurcation theory [See also 34C23, 34K18] |
||
|
37G05 |
标准型 |
Normal forms |
||
|
37G10 |
奇异点的分歧 |
Bifurcations of singular points |
||
|
37G15 |
极限环和周期轨道的分歧 |
Bifurcations of limit cycles and periodic orbits |
||
|
37G20 |
具有同宿轨道的双曲奇异点 |
Hyperbolic singular points with homoclinic trajectories |
||
|
37G25 |
分歧与非横截相交的关系 |
Bifurcations connected with nontransversal intersection |
||
|
37G30 |
来自分歧的无限非游荡集 |
Infinite nonwandering sets arising in bifurcations |
||
|
37G35 |
吸引子及其分歧 |
Attractors and their bifurcations |
||
|
37G40 |
对称性等变分歧理论 |
Symmetries, equivariant bifurcation theory |
||
|
37G99 |
其它 |
None of the above, but in this section |
||
|
37Hxx |
随机动力系统[参见15B52, 34D08, 34F05, 47B80, 70L05, 82C05, 93Exx]] |
Random dynamical systems [See also 15B52, 34D08, 34F05, 47B80, 70L05, 82C05, 93Exx] |
||
|
37H05 |
基础, 余圈的一般理论, 代数遍历理论[参见37Axx] |
Foundations, general theory of cocycles, algebraic ergodic theory [See also 37Axx] |
||
|
37H10 |
生成, 随机差分和微分方程[参见34F05, 34K50, 60H10, 60H15] |
Generation, random and stochastic difference and differential equations [See also 34F05, 34K50, 60H10, 60H15] |
||
|
37H15 |
乘性遍历理论, Lyapunov指数[参见34D08, 37Axx, 37Cxx, 37Dxx] |
Multiplicative ergodic theory, Lyapunov exponents [See also 34D08, 37Axx, 37Cxx, 37Dxx] |
||
|
37H20 |
分歧理论[参见37Gxx] |
Bifurcation theory [See also 37Gxx] |
||
|
37H99 |
其它 |
None of the above, but in this section |
||
|
37Jxx |
有限维Hamilton, Lagrange, 接触和非完整系统[参见53Dxx, 70Fxx, 70Hxx] |
Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx] |
||
|
37J05 |
一般理论, 与辛几何和拓扑的关系 |
General theory, relations with symplectic geometry and topology |
||
|
37J10 |
辛映射, 不动点 |
Symplectic mappings, fixed points |
||
|
37J15 |
对称性, 不变量, 不变流形, 动量映射, 约化[参见53D20] |
Symmetries, invariants, invariant manifolds, momentum maps, reduction [See also 53D20] |
||
|
37J20 |
分歧问题 |
Bifurcation problems |
||
|
37J25 |
稳定性问题 |
Stability problems |
||
|
37J30 |
可积性阻碍(不可积性判据) |
Obstructions to integrability (nonintegrability criteria) |
||
|
37J35 |
完备可积系统, 相空间的拓扑结构, 积分法 |
Completely integrable systems, topological structure of phase space, integration methods |
||
|
37J40 |
摄动, 标准型, 小除子, KAM理论, Arnol'd扩散 |
Perturbations, normal forms, small divisors, KAM theory, Arnol'd diffusion |
||
|
37J45 |
周期的, 同宿和异宿轨道; 变分法, 度-理论方法 |
Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods |
||
|
37J50 |
作用-极小化轨道和测度 |
Action-minimizing orbits and measures |
||
|
37J55 |
接触系统[参见53D10] |
Contact systems [See also 53D10] |
||
|
37J60 |
非完整动力系统[参见70F25] |
Nonholonomic dynamical systems [See also 70F25] |
||
|
37J99 |
其它 |
None of the above, but in this section |
||
|
37Kxx |
无限维Hamilton系统[参见35Axx, 35Qxx] |
Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx] |
||
|
37K05 |
Hamilton结构, 对称性, 变分原理, 守恒律 |
Hamiltonian structures, symmetries, variational principles, conservation laws |
||
|
37K10 |
完备可积系统, 可积性检验, 双Hamilton结构, 谱系(KdV、KP、Toda等) |
Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) |
||
|
37K15 |
逆谱和散射法的完备可积系统的积分法 |
Integration of completely integrable systems by inverse spectral and scattering methods |
||
|
37K20 |
与代数几何、复分析、特殊函数的关系[参见14H70] |
Relations with algebraic geometry, complex analysis, special functions [See also 14H70] |
||
|
37K25 |
与微分几何的关系 |
Relations with differential geometry |
||
|
37K30 |
与无限维Lie代数及其它代数结构的关系 |
Relations with infinite-dimensional Lie algebras and other algebraic structures |
||
|
37K35 |
Lie-Bäcklund和其它变换 |
Lie-Bäcklund and other transformations |
||
|
37K40 |
孤立子理论, 解的渐近特性 |
Soliton theory, asymptotic behavior of solutions |
||
|
37K45 |
稳定性问题 |
Stability problems |
||
|
37K50 |
分歧问题 |
Bifurcation problems |
||
|
37K55 |
摄动, 无限维系统的KAM |
Perturbations, KAM for infinite-dimensional systems |
||
|
37K60 |
格动力学[参见37L60] |
Lattice dynamics [See also 37L60] |
||
|
37K65 |
微分同胚群上和映射与度量流形上的Hamilton系统 |
Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics |
||
|
37K99 |
其它 |
None of the above, but in this section |
||
|
37Lxx |
无限维耗散动力系统[参见35Bxx, 35Qxx] |
Infinite-dimensional dissipative dynamical systems [See also 35Bxx, 35Qxx] |
||
|
37L05 |
一般理论, 非线性半群, 发展方程 |
General theory, nonlinear semigroups, evolution equations |
||
|
37L10 |
标准型, 中心流形理论, 分歧理论 |
Normal forms, center manifold theory, bifurcation theory |
||
|
37L15 |
稳定性问题 |
Stability problems |
||
|
37L20 |
对称性 |
Symmetries |
||
|
37L25 |
惯性流形和其它不变吸引集 |
Inertial manifolds and other invariant attracting sets |
||
|
37L30 |
吸引子及其维数, Lyapunov指数 |
Attractors and their dimensions, Lyapunov exponents |
||
|
37L40 |
不变测度 |
Invariant measures |
||
|
37L45 |
双曲性; Lyapunov函数 |
Hyperbolicity; Lyapunov functions |
||
|
37L50 |
非紧半群; 色散方程; Hamilton系统的摄动 |
Noncompact semigroups; dispersive equations; perturbations of Hamiltonian systems |
||
|
37L55 |
无限维随机动力系统; 随机方程[参见35R60, 60H10, 60H15] |
Infinite-dimensional random dynamical systems; stochastic equations [See also 35R60, 60H10, 60H15] |
||
|
37L60 |
格动力学[参见37K60] |
Lattice dynamics [See also 37K60] |
||
|
37L65 |
特殊近似法(非线性Galerkin等) |
Special approximation methods (nonlinear Galerkin, etc.) |
||
|
37L99 |
其它 |
None of the above, but in this section |
||
|
37Mxx |
近似法及动力系统的数值处理[参见65Pxx] |
Approximation methods and numerical treatment of dynamical systems [See also 65Pxx] |
||
|
37M05 |
仿真 |
Simulation |
||
|
37M10 |
时间序列分析 |
Time series analysis |
||
|
37M15 |
辛积分仪 |
Symplectic integrators |
||
|
37M20 |
分歧问题的计算方法 |
Computational methods for bifurcation problems |
||
|
37M25 |
遍历理论的计算方法(不变测度的逼近, Lyapunov指数的计算, 熵) |
Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) |
||
|
37M99 |
其它 |
None of the above, but in this section |
||
|
37Nxx |
应用 |
Applications |
||
|
37N05 |
经典和天体力学中的动力系统[主要见70Fxx, 70Hxx, 70Kxx] |
Dynamical systems in classical and celestial mechanics [See mainly 70Fxx, 70Hxx, 70Kxx] |
||
|
37N10 |
流体力学、海洋学和气象学中的动力系统[主要见76-XX, 特别地76D05, 76F20, 86A05, 86A10] |
Dynamical systems in fluid mechanics, oceanography and meteorology [See mainly 76-XX, especially 76D05, 76F20, 86A05, 86A10] |
||
|
37N15 |
固体力学中的动力系统[主要见74Hxx] |
Dynamical systems in solid mechanics [See mainly 74Hxx] |
||
|
37N20 |
物理学其它分支领域(量子力学, 一般相对论, 激光物理)中的动力系统 |
Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) |
||
|
37N25 |
生物学中的动力系统[主要见92-XX, 也可见91-XX] |
Dynamical systems in biology [See mainly 92-XX, but also 91-XX] |
||
|
37N30 |
数值分析中的动力系统 |
Dynamical systems in numerical analysis |
||
|
37N35 |
控制中的动力系统 |
Dynamical systems in control |
||
|
37N40 |
最优化和经济学中的动力系统 |
Dynamical systems in optimization and economics |
||
|
37N99 |
其它 |
None of the above, but in this section |
||
|
37Pxx |
算术和非Archimedes动力系统[参见11S82, 37A45] |
Arithmetic and non-Archimedean dynamical systems [See also 11S82, 37A45] |
||
|
37P05 |
多项式和有理映射 |
Polynomial and rational maps |
||
|
37P10 |
解析和亚纯映射 |
Analytic and meromorphic maps |
||
|
37P15 |
全局基域 |
Global ground fields |
||
|
37P20 |
非Archimedes局部基域 |
Non-Archimedean local ground fields |
||
|
37P25 |
有限基域 |
Finite ground fields |
||
|
37P30 |
高度函数; Green函数;不变测度[参见11G50, 14G40] |
Height functions; Green functions; invariant measures [See also 11G50, 14G40] |
||
|
37P35 |
周期点的算术性质 |
Arithmetic properties of periodic points |
||
|
37P40 |
非Archimedes Fatou及Julia集 |
Non-Archimedean Fatou and Julia sets |
||
|
37P45 |
族和模空间 |
Families and moduli spaces |
||
|
37P50 |
Berkovich空间的动力系统 |
Dynamical systems on Berkovich spaces |
||
|
37P55 |
一般代数簇的算术动力学 |
Arithmetic dynamics on general algebraic varieties |
||
|
37P99 |
其它 |
None of the above, but in this section |
||
|
39-XX |
差分方程与泛函方程 |
Difference and functional equations |
||
|
39-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
39-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
39-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
39-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
39-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
39-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
39Axx |
差分方程(动力系统, 见37-XX; 时间尺度上的动力学方程, 见34N05) |
Difference equations (For dynamical systems, see 37-XX; for dynamic equations on time scales, see 34N05) |
||
|
39A05 |
一般问题 |
General theory |
||
|
39A06 |
线性方程 |
Linear equations |
||
|
39A10 |
差分方程, 加性 |
Difference equations, additive |
||
|
39A12 |
分析课题中的离散式 |
Discrete version of topics in analysis |
||
|
39A13 |
差分方程, 尺度化(q-差分)[参见33Dxx] |
Difference equations, scaling (q-differences) [See also 33Dxx] |
||
|
39A14 |
偏差分方程 |
Partial difference equations |
||
|
39A20 |
乘法和其它广义差分方程, 例如: Lyness型的 |
Multiplicative and other generalized difference equations, e.g. of Lyness type |
||
|
39A21 |
振荡理论 |
Oscillation theory |
||
|
39A22 |
解的增长性, 有界性及比较 |
Growth, boundedness, comparison of solutions |
||
|
39A23 |
周期解 |
Periodic solutions |
||
|
39A24 |
殆周期解 |
Almost periodic solutions |
||
|
39A28 |
分歧理论 |
Bifurcation theory |
||
|
39A30 |
稳定性理论 |
Stability theory |
||
|
39A33 |
解的复(混沌)性态 |
Complex (chaotic) behavior of solutions |
||
|
39A45 |
复域上的方程 |
Equations in the complex domain |
||
|
39A50 |
随机差分方程 |
Stochastic difference equations |
||
|
39A60 |
应用 |
Applications |
||
|
39A70 |
差分算子[参见47B39] |
Difference operators [See also 47B39] |
||
|
39A99 |
其它 |
None of the above, but in this section |
||
|
39Bxx |
泛函方程和不等式[参见30D05] |
Functional equations and inequalities [See also 30D05] |
||
|
39B05 |
一般问题 |
General |
||
|
39B12 |
迭代理论, 迭代和复合方程[参见26A18, 30D05, 37-XX] |
Iteration theory, iterative and composite equations [See also 26A18, 30D05, 37-XX] |
||
|
39B22 |
实函数方程[参见26A51, 26B25] |
Equations for real functions [See also 26A51, 26B25] |
||
|
39B32 |
复函数方程[参见30D05] |
Equations for complex functions [See also 30D05] |
||
|
39B42 |
矩阵与算子方程[参见47Jxx] |
Matrix and operator equations [See also 47Jxx] |
||
|
39B52 |
更一般域和/或范围上的函数方程 |
Equations for functions with more general domains and/or ranges |
||
|
39B55 |
正交加性和其它条件方程 |
Orthogonal additivity and other conditional equations |
||
|
39B62 |
泛函不等式, 包括次可加性、凸性等[参见26A51, 26B25, 26Dxx] |
Functional inequalities, including subadditivity, convexity, etc. [See also 26A51, 26B25, 26Dxx] |
||
|
39B72 |
泛函方程和不等式系统 |
Systems of functional equations and inequalities |
||
|
39B82 |
稳定性, 分离, 扩张和相关课题[参见46A22] |
Stability, separation, extension, and related topics [See also 46A22] |
||
|
39B99 |
其它 |
None of the above, but in this section |
||
|
40-XX |
序列, 级数, 可(求)和性 |
Sequences, series, summability |
||
|
40-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
40-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
40-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
40-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
40-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
40-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
40Axx |
无穷极限过程的收敛与发散 |
Convergence and divergence of infinite limiting processes |
||
|
40A05 |
级数与序列的收敛及发散 |
Convergence and divergence of series and sequences |
||
|
40A10 |
积分的收敛与发散 |
Convergence and divergence of integrals |
||
|
40A15 |
连分式的收敛与发散[参见30B70] |
Convergence and divergence of continued fractions [See also 30B70] |
||
|
40A20 |
无穷乘积的收敛与发散 |
Convergence and divergence of infinite products |
||
|
40A25 |
极限值的逼近(级数求和等)(Euler-Maclaurin求和公式, 见65B15) |
Approximation to limiting values (summation of series, etc.) (For the Euler-Maclaurin summation formula, see 65B15) |
||
|
40A30 |
函数级数与序列的收敛及发散 |
Convergence and divergence of series and sequences of functions |
||
|
40A35 |
理想和统计收敛[参见40G15] |
Ideal and statistical convergence [See also 40G15] |
||
|
40A99 |
其它 |
None of the above, but in this section |
||
|
40Bxx |
多重序列与级数 |
Multiple sequences and series |
||
|
40B05 |
多重序列与级数(还应在这节中至少指定一个分类号) |
Multiple sequences and series (should also be assigned at least one other classification number in this section) |
||
|
40B99 |
其它 |
None of the above, but in this section |
||
|
40Cxx |
一般可(求)和性方法 |
General summability methods |
||
|
40C05 |
矩阵法 |
Matrix methods |
||
|
40C10 |
积分法 |
Integral methods |
||
|
40C15 |
函数论方法(包括幂级数法和半连续法) |
Function-theoretic methods (including power series methods and semicontinuous methods) |
||
|
40C99 |
其它 |
None of the above, but in this section |
||
|
40Dxx |
可(求)和性的直接定理 |
Direct theorems on summability |
||
|
40D05 |
一般定理 |
General theorems |
||
|
40D09 |
可(求)和性域的结构 |
Structure of summability fields |
||
|
40D10 |
Tauber常数和振荡极限 |
Tauberian constants and oscillation limits |
||
|
40D15 |
收敛因子与可(求)和性因子 |
Convergence factors and summability factors |
||
|
40D20 |
可(求)和性及方法的有界域 |
Summability and bounded fields of methods |
||
|
40D25 |
包含和等价定理 |
Inclusion and equivalence theorems |
||
|
40D99 |
其它 |
None of the above, but in this section |
||
|
40Exx |
反演定理 |
Inversion theorems |
||
|
40E05 |
Tauber型定理, 一般理论 |
Tauberian theorems, general |
||
|
40E10 |
增长估计 |
Growth estimates |
||
|
40E15 |
缺项反演定理 |
Lacunary inversion theorems |
||
|
40E20 |
Tauber常数 |
Tauberian constants |
||
|
40E99 |
其它 |
None of the above, but in this section |
||
|
40Fxx |
绝对和强可(求)和性(还必须在40-XX中至少指定一个分类号) |
Absolute and strong summability (should also be assigned at least one other classification number in Section 40) |
||
|
40F05 |
绝对和强可(求)和性(还必须在40-XX中至少指定一个分类号) |
Absolute and strong summability (should also be assigned at least one other classification number in Section 40) |
||
|
40F99 |
其它 |
None of the above, but in this section |
||
|
40Gxx |
可(求)和性的特殊方法 |
Special methods of summability |
||
|
40G05 |
Cesàro, Euler, Nörlund和Hausdorff方法 |
Cesàro, Euler, Nörlund and Hausdorff methods |
||
|
40G10 |
Abel, Borel与幂级数方法 |
Abel, Borel and power series methods |
||
|
40G15 |
使用统计收敛的可(求)和性方法[参见40A35] |
Summability methods using statistical convergence [See also 40A35] |
||
|
40G99 |
其它 |
None of the above, but in this section |
||
|
40Hxx |
可(求)和性中的泛函分析法 |
Functional analytic methods in summability |
||
|
40H05 |
可(求)和性中的泛函分析法 |
Functional analytic methods in summability |
||
|
40H99 |
其它 |
None of the above, but in this section |
||
|
40Jxx |
抽象结构中的可(求)和性[参见43A55, 46A35, 46B15] |
Summability in abstract structures [See also 43A55, 46A35, 46B15] |
||
|
40J05 |
抽象结构中的可(求)和性[参见43A55, 46A35, 46B15](还必须在40-XX中至少指定一个分类号) |
Summability in abstract structures [See also 43A55, 46A35, 46B15](should also be assigned at least one other classification number in this section) |
||
|
40J99 |
其它 |
None of the above, but in this section |
||
|
41-XX |
逼近与展开(所有复域中的逼近论, 见30E05和30E10; 所有三角逼近与插值, 见42A10和42A15; 数值逼近, 见65Dxx) |
Approximations and expansions (For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx) |
||
|
41-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
41-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
41-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
41-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
41-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
41-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
41Axx |
逼近与展开(所有复域中的逼近论, 见30E05和30E10; 所有三角逼近与插值, 见42A10和42A15; 数值逼近, 见65Dxx) |
Approximations and expansions (For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx) |
||
|
41A05 |
插值[参见42A15和65D05] |
Interpolation [See also 42A15 and 65D05] |
||
|
41A10 |
多项式逼近(三角多项式逼近, 见42A10) |
Approximation by polynomials (For approximation by trigonometric polynomials, see 42A10) |
||
|
41A15 |
样条逼近 |
Spline approximation |
||
|
41A17 |
逼近不等式(Bernstein, Jackson, Nikol'skiǐ型不等式) |
Inequalities in approximation (Bernstein, Jackson, Nikol'skiǐ-type inequalities) |
||
|
41A20 |
有理函数逼近 |
Approximation by rational functions |
||
|
41A21 |
Padé逼近 |
Padé approximation |
||
|
41A25 |
收敛速率, 逼近度 |
Rate of convergence, degree of approximation |
||
|
41A27 |
逆定理 |
Inverse theorems |
||
|
41A28 |
同时逼近 |
Simultaneous approximation |
||
|
41A29 |
带约束逼近 |
Approximation with constraints |
||
|
41A30 |
其它特殊函数类的逼近 |
Approximation by other special function classes |
||
|
41A35 |
算子逼近(特别地, 积分算子) |
Approximation by operators (in particular, by integral operators) |
||
|
41A36 |
正算子逼近 |
Approximation by positive operators |
||
|
41A40 |
饱和 |
Saturation |
||
|
41A44 |
最佳常数 |
Best constants |
||
|
41A45 |
任意线性表达式的逼近 |
Approximation by arbitrary linear expressions |
||
|
41A46 |
任意非线性表达式逼近; 宽度与熵 |
Approximation by arbitrary nonlinear expressions; widths and entropy |
||
|
41A50 |
最佳逼近, Chebyshev系统 |
Best approximation, Chebyshev systems |
||
|
41A52 |
最佳逼近的唯一性 |
Uniqueness of best approximation |
||
|
41A55 |
近似求积分 |
Approximate quadratures |
||
|
41A58 |
级数展开(例如: Taylor, Lidstone级数, 但非Fourier级数) |
Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) |
||
|
41A60 |
渐近逼近, 渐近展开(最速下降等)[参见30E15] |
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) [See also 30E15] |
||
|
41A63 |
多维问题(还应在这节中至少给出一个其它分类号) |
Multidimensional problems (should also be assigned at least one other classification number in this section) |
||
|
41A65 |
抽象逼近理论(赋范线性空间及其它抽象空间中的逼近) |
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) |
||
|
41A80 |
逼近公式中的余项 |
Remainders in approximation formulas |
||
|
41A99 |
杂题 |
Miscellaneous topics |
||
|
42-XX |
Euclid空间上的调和分析 |
Harmonic analysis on Euclidean spaces |
||
|
42-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
42-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
42-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
42-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
42-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
42-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
42Axx |
单变量调和分析 |
Harmonic analysis in one variable |
||
|
42A05 |
三角多项式, 不等式, 极值问题 |
Trigonometric polynomials, inequalities, extremal problems |
||
|
42A10 |
三角逼近 |
Trigonometric approximation |
||
|
42A15 |
三角插值 |
Trigonometric interpolation |
||
|
42A16 |
Fourier系数, 特殊性质函数的Fourier级数, 特殊Fourier级数(自同构理论, 主要见11F30) |
Fourier coefficients, Fourier series of functions with special properties, special Fourier series (For automorphic theory, see mainly 11F30) |
||
|
42A20 |
Fourier级数与三角级数的收敛性和绝对收敛性 |
Convergence and absolute convergence of Fourier and trigonometric series |
||
|
42A24 |
Fourier级数和三角级数的可求和性和绝对可求和性 |
Summability and absolute summability of Fourier and trigonometric series |
||
|
42A32 |
特殊型三角级数(正系数、单调系数等) |
Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) |
||
|
42A38 |
Fourier与Fourier-Stieltjes变换及其它Fourier型变换 |
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
||
|
42A45 |
乘子 |
Multipliers |
||
|
42A50 |
共轭函数、共轭级数、奇异积分 |
Conjugate functions, conjugate series, singular integrals |
||
|
42A55 |
三角函数与其它函数的缺项级数; Riesz乘积 |
Lacunary series of trigonometric and other functions; Riesz products |
||
|
42A61 |
概率方法 |
Probabilistic methods |
||
|
42A63 |
三角展开的唯一性, Fourier展开的唯一性, Riemann理论, 局部化 |
Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization |
||
|
42A65 |
函数集的完备性 |
Completeness of sets of functions |
||
|
42A70 |
三角矩问题 |
Trigonometric moment problems |
||
|
42A75 |
经典殆周期函数, 平均周期函数[参见43A60] |
Classical almost periodic functions, mean periodic functions [See also 43A60] |
||
|
42A82 |
正定函数 |
Positive definite functions |
||
|
42A85 |
卷积, 因子分解 |
Convolution, factorization |
||
|
42A99 |
其它 |
None of the above, but in this section |
||
|
42Bxx |
多变量调和分析(自同构理论, 主要见11F30) |
Harmonic analysis in several variables (For automorphic theory, see mainly 11F30) |
||
|
42B05 |
Fourier级数与系数 |
Fourier series and coefficients |
||
|
42B08 |
可(求)和性 |
Summability |
||
|
42B10 |
Fourier与Fourier-Stieltjes变换及其它Fourier型变换 |
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
||
|
42B15 |
乘子 |
Multipliers |
||
|
42B20 |
奇异积分(Calderón-Zygmund等) |
Singular integrals (Calderón-Zygmund, etc.) |
||
|
42B25 |
极大函数, Littlewood-Paley理论 |
Maximal functions, Littlewood-Paley theory |
||
|
42B30 |
Hp空间 |
Hp-spaces |
||
|
42B35 |
调和分析中的函数空间 |
Function spaces arising in harmonic analysis |
||
|
42B37 |
调和分析与偏微分方程[参见35-XX] |
Harmonic analysis and PDE [See also 35-XX] |
||
|
42B99 |
其它 |
None of the above, but in this section |
||
|
42Cxx |
非三角Fourier分析 |
Nontrigonometric Fourier analysis |
||
|
42C05 |
正交函数与多项式, 一般理论[参见33C45, 33C50, 33D45] |
Orthogonal functions and polynomials, general theory [See also 33C45, 33C50, 33D45] |
||
|
42C10 |
特殊正交函数的Fourier级数(Legendre多项式、Walsh函数等) |
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) |
||
|
42C15 |
一般调和展开, 框架 |
General harmonic expansions, frames |
||
|
42C20 |
其它调和型变换 |
Other transformations of harmonic type |
||
|
42C25 |
正交级数的唯一性与局部化 |
Uniqueness and localization for orthogonal series |
||
|
42C30 |
函数集的完备性 |
Completeness of sets of functions |
||
|
42C40 |
小波与其它特殊系统 |
Wavelets and other special systems |
||
|
42C99 |
其它 |
None of the above, but in this section |
||
|
43-XX |
抽象调和分析(拓扑与Lie群的其它分析, 见22Exx) |
Abstract harmonic analysis (For other analysis on topological and Lie groups, see 22Exx) |
||
|
43-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
43-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
43-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
43-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
43-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
43-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
43Axx |
抽象调和分析(拓扑与Lie群的其它分析, 见22Exx) |
Abstract harmonic analysis (For other analysis on topological and Lie groups, see 22Exx) |
||
|
43A05 |
群与半群等上的测度 |
Measures on groups and semigroups, etc. |
||
|
43A07 |
群、半群等上的平均; 顺从群 |
Means on groups, semigroups, etc.; amenable groups |
||
|
43A10 |
群、半群等上的测度代数 |
Measure algebras on groups, semigroups, etc. |
||
|
43A15 |
群、半群等上的Lp空间与其它函数空间 |
Lp-spaces and other function spaces on groups, semigroups, etc. |
||
|
43A17 |
有序群上的分析, Hp理论 |
Analysis on ordered groups, Hp-theory |
||
|
43A20 |
群、半群等上的L1代数 |
L1-algebras on groups, semigroups, etc. |
||
|
43A22 |
群、半群等上的函数空间的同态与乘子 |
Homomorphisms and multipliers of function spaces on groups, semigroups, etc. |
||
|
43A25 |
局部紧群与其它Abel群上的Fourier与Fourier-Stieltjes变换 |
Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups |
||
|
43A30 |
非Abel群与半群等上的Fourier与Fourier-Stieltjes变换 |
Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. |
||
|
43A32 |
Fourier型其它变换与算子 |
Other transforms and operators of Fourier type |
||
|
43A35 |
群、半群等上的正定函数 |
Positive definite functions on groups, semigroups, etc. |
||
|
43A40 |
特征标群与对偶对象 |
Character groups and dual objects |
||
|
43A45 |
群、半群等上的谱综合 |
Spectral synthesis on groups, semigroups, etc. |
||
|
43A46 |
特殊集(合)(薄集、Kronecker集、Helson集、Ditkin集、Sidon集等) |
Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) |
||
|
43A50 |
Fourier级数与逆变换的收敛性 |
Convergence of Fourier series and of inverse transforms |
||
|
43A55 |
群、半群等上的可(求)和性方法[参见40J05] |
Summability methods on groups, semigroups, etc. [See also 40J05] |
||
|
43A60 |
群与半群上的殆周期函数及其推广(递归函数、末端函数等); 殆自同构函数 |
Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions |
||
|
43A62 |
超群 |
Hypergroups |
||
|
43A65 |
群、半群等的表示[参见22A10, 22A20, 22Dxx, 22E45] |
Representations of groups, semigroups, etc. [See also 22A10, 22A20, 22Dxx, 22E45] |
||
|
43A70 |
特殊局部紧群与其它Abel群上的分析[参见11R56, 22B05] |
Analysis on specific locally compact and other abelian groups [See also 11R56, 22B05] |
||
|
43A75 |
特殊紧群的分析 |
Analysis on specific compact groups |
||
|
43A77 |
一般紧群的分析 |
Analysis on general compact groups |
||
|
43A80 |
其它特殊Lie群的分析[参见22Exx] |
Analysis on other specific Lie groups [See also 22Exx] |
||
|
43A85 |
齐性空间上的分析 |
Analysis on homogeneous spaces |
||
|
43A90 |
球面函数[参见22E45, 22E46, 33C55] |
Spherical functions [See also 22E45, 22E46, 33C55] |
||
|
43A95 |
范畴方法[参见46Mxx] |
Categorical methods [See also 46Mxx] |
||
|
43A99 |
其它 |
None of the above, but in this section |
||
|
44-XX |
积分变换, 运算微积分(分数导数与积分, 见26A33; Fourier变换, 见42A38, 42B10; 分布空间中的积分变换, 见46F12; 数值方法, 见65R10) |
Integral transforms, operational calculus (For fractional derivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For numerical methods, see 65R10) |
||
|
44-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
44-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
44-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
44-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
44-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
44-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
44Axx |
积分变换, 运算微积分(分数导数与积分, 见26A33; Fourier变换, 见42A38, 42B10; 分布空间中的积分变换, 见46F12; 数值方法, 见65R10) |
Integral transforms, operational calculus (For fractional derivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For numerical methods, see 65R10) |
||
|
44A05 |
一般变换[参见42A38] |
General transforms [See also 42A38] |
||
|
44A10 |
Laplace变换 |
Laplace transform |
||
|
44A12 |
Radon变换[参见92C55] |
Radon transform [See also 92C55] |
||
|
44A15 |
特殊变换(Legendre、Hilbert等) |
Special transforms (Legendre, Hilbert, etc.) |
||
|
44A20 |
特殊函数的变换 |
Transforms of special functions |
||
|
44A30 |
多重变换 |
Multiple transforms |
||
|
44A35 |
卷积 |
Convolution |
||
|
44A40 |
Mikusiński微积分与其它运算微积分 |
Calculus of Mikusiński and other operational calculi |
||
|
44A45 |
经典运算微积分 |
Classical operational calculus |
||
|
44A55 |
离散运算微积分 |
Discrete operational calculus |
||
|
44A60 |
矩问题 |
Moment problems |
||
|
44A99 |
其它 |
None of the above, but in this section |
||
|
45-XX |
积分方程 |
Integral equations |
||
|
45-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
45-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
45-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
45-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
45-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
45-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
45Axx |
线性积分方程 |
Linear integral equations |
||
|
45A05 |
线性积分方程 |
Linear integral equations |
||
|
45A99 |
其它 |
None of the above, but in this section |
||
|
45Bxx |
Fredholm积分方程 |
Fredholm integral equations |
||
|
45B05 |
Fredholm积分方程 |
Fredholm integral equations |
||
|
45B99 |
其它 |
None of the above, but in this section |
||
|
45Cxx |
特征值问题[参见34Lxx, 35Pxx, 45P05, 47A75] |
Eigenvalue problems [See also 34Lxx, 35Pxx, 45P05, 47A75] |
||
|
45C05 |
特征值问题[参见34Lxx, 35Pxx, 45P05, 47A75] |
Eigenvalue problems [See also 34Lxx, 35Pxx, 45P05, 47A75] |
||
|
45C99 |
其它 |
None of the above, but in this section |
||
|
45Dxx |
Volterra积分方程[参见34A12] |
Volterra integral equations [See also 34A12] |
||
|
45D05 |
Volterra积分方程[参见34A12] |
Volterra integral equations [See also 34A12] |
||
|
45D99 |
其它 |
None of the above, but in this section |
||
|
45Exx |
奇异积分方程[参见30E20, 30E25, 44A15, 44A35] |
Singular integral equations [See also 30E20, 30E25, 44A15, 44A35] |
||
|
45E05 |
有Cauchy型核的积分方程[参见35J15] |
Integral equations with kernels of Cauchy type [See also 35J15] |
||
|
45E10 |
卷积型积分方程(Abel, Picard, Toeplitz和Wiener-Hopf型)[参见47B35] |
Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) [See also 47B35] |
||
|
45E99 |
其它 |
None of the above, but in this section |
||
|
45Fxx |
线性积分方程组 |
Systems of linear integral equations |
||
|
45F05 |
非奇异线性积分方程组 |
Systems of nonsingular linear integral equations |
||
|
45F10 |
对偶、三元组等的积分与级数方程 |
Dual, triple, etc., integral and series equations |
||
|
45F15 |
奇异线性积分方程组 |
Systems of singular linear integral equations |
||
|
45F99 |
其它 |
None of the above, but in this section |
||
|
45Gxx |
非线性积分方程[参见47H30, 47Jxx] |
Nonlinear integral equations [See also 47H30, 47Jxx] |
||
|
45G05 |
奇异非线性积分方程 |
Singular nonlinear integral equations |
||
|
45G10 |
其它非线性积分方程 |
Other nonlinear integral equations |
||
|
45G15 |
非线性积分方程组 |
Systems of nonlinear integral equations |
||
|
45G99 |
其它 |
None of the above, but in this section |
||
|
45Hxx |
各种特殊核[参见44A15] |
Miscellaneous special kernels [See also 44A15] |
||
|
45H05 |
各种特殊核[参见44A15] |
Miscellaneous special kernels [See also 44A15] |
||
|
45H99 |
其它 |
None of the above, but in this section |
||
|
45Jxx |
积分-常微分方程[参见34K05, 34K30, 47G20] |
Integro-ordinary differential equations [See also 34K05, 34K30, 47G20] |
||
|
45J05 |
积分-常微分方程[参见34K05, 34K30, 47G20] |
Integro-ordinary differential equations [See also 34K05, 34K30, 47G20] |
||
|
45J99 |
其它 |
None of the above, but in this section |
||
|
45Kxx |
积分-偏微分方程[参见34K30, 35R09, 35R10, 47G20] |
Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] |
||
|
45K05 |
积分-偏微分方程[参见34K30, 35R09, 35R10, 47G20] |
Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] |
||
|
45K99 |
其它 |
None of the above, but in this section |
||
|
45Lxx |
解的理论逼近(数值分析, 见65Rxx) |
Theoretical approximation of solutions (For numerical analysis, see 65Rxx) |
||
|
45L05 |
解的理论逼近(数值分析, 见65Rxx) |
Theoretical approximation of solutions (For numerical analysis, see 65Rxx) |
||
|
45L99 |
其它 |
None of the above, but in this section |
||
|
45Mxx |
定性特性 |
Qualitative behavior |
||
|
45M05 |
渐近性 |
Asymptotics |
||
|
45M10 |
稳定性理论 |
Stability theory |
||
|
45M15 |
周期解 |
Periodic solutions |
||
|
45M20 |
正解 |
Positive solutions |
||
|
45M99 |
其它 |
None of the above, but in this section |
||
|
45Nxx |
抽象积分方程, 抽象空间中的积分方程 |
Abstract integral equations, integral equations in abstract spaces |
||
|
45N05 |
抽象积分方程, 抽象空间中的积分方程 |
Abstract integral equations, integral equations in abstract spaces |
||
|
45N99 |
其它 |
None of the above, but in this section |
||
|
45Pxx |
积分算子[参见47B38, 47G10] |
Integral operators [See also 47B38, 47G10] |
||
|
45P05 |
积分算子[参见47B38, 47G10] |
Integral operators [See also 47B38, 47G10] |
||
|
45P99 |
其它 |
None of the above, but in this section |
||
|
45Qxx |
逆问题 |
Inverse problems |
||
|
45Q05 |
逆问题 |
Inverse problems |
||
|
45Q99 |
其它 |
None of the above, but in this section |
||
|
45Rxx |
随机积分方程[参见60H20] |
Random integral equations [See also 60H20] |
||
|
45R05 |
随机积分方程[参见60H20] |
Random integral equations [See also 60H20] |
||
|
45R99 |
其它 |
None of the above, but in this section |
||
|
46-XX |
泛函分析(拓扑线性空间上的流形模型, 见57Nxx, 58Bxx) |
Functional analysis (For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx) |
||
|
46-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
46-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
46-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
46-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
46-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
46-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
46Axx |
拓扑线性空间及相关结构(函数空间, 见46Exx) |
Topological linear spaces and related structures (For function spaces, see 46Exx) |
||
|
46A03 |
局部凸空间的一般理论 |
General theory of locally convex spaces |
||
|
46A04 |
局部凸Fréchet空间与(DF)-空间 |
Locally convex Fréchet spaces and (DF)-spaces |
||
|
46A08 |
桶型空间, 有界型空间 |
Barrelled spaces, bornological spaces |
||
|
46A11 |
紧性或可(求)和性性质确定的空间(核空间、Schwarz空间、Montel空间等) |
Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) |
||
|
46A13 |
用归纳或射影极限(LB、LF等)定义的空间[参见46M40] |
Spaces defined by inductive or projective limits (LB, LF, etc.) [See also 46M40] |
||
|
46A16 |
非局部凸空间(可度量拓扑线性空间、局部有界空间、拟-Banach空间等) |
Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) |
||
|
46A17 |
有界型与相关结构; Mackey收敛等 |
Bornologies and related structures; Mackey convergence, etc. |
||
|
46A19 |
其它“拓扑”线性空间(收敛空间、秩空间、在比R等更一般的有序结构中取值的度量空间等) |
Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than R, etc.) |
||
|
46A20 |
对偶性理论 |
Duality theory |
||
|
46A22 |
Hahn-Banach型定理; 泛函与算子的扩张及其提升[参见46M10] |
Theorems of Hahn-Banach type; extension and lifting of functionals and operators [See also 46M10] |
||
|
46A25 |
自反性与半自反性[参见46B10] |
Reflexivity and semi-reflexivity [See also 46B10] |
||
|
46A30 |
开映射与闭图定理; 完备性(包括B-完备性, Br-完备性) |
Open mapping and closed graph theorems; completeness (including B-, Br-completeness) |
||
|
46A32 |
线性算子空间; 拓扑张量积; 逼近性质[参见46B28, 46M05, 47L05, 47L20] |
Spaces of linear operators; topological tensor products; approximation properties [See also 46B28, 46M05, 47L05, 47L20] |
||
|
46A35 |
可(求)和性与基[参见46B15] |
Summability and bases [See also 46B15] |
||
|
46A40 |
有序拓扑线性空间, 向量格[参见06F20, 46B40, 46B42] |
Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42] |
||
|
46A45 |
序列空间(包括Köthe序列空间)[参见46B45] |
Sequence spaces (including Köthe sequence spaces) [See also 46B45] |
||
|
46A50 |
拓扑线性空间的紧性; angelic空间等 |
Compactness in topological linear spaces; angelic spaces, etc. |
||
|
46A55 |
拓扑线性空间中的凸集; Choquet理论[参见52A07] |
Convex sets in topological linear spaces; Choquet theory [See also 52A07] |
||
|
46A61 |
分次Fréchet空间和驯顺算子 |
Graded Fréchet spaces and tame operators |
||
|
46A63 |
拓扑不变量((DN)、(Ω)等) |
Topological invariants ((DN), (Ω), etc.) |
||
|
46A70 |
Saks空间及其对偶(严格拓扑、混合拓扑、2范数空间、共Saks空间等) |
Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) |
||
|
46A80 |
模空间 |
Modular spaces |
||
|
46A99 |
其它 |
None of the above, but in this section |
||
|
46Bxx |
赋范线性空间与Banach空间; Banach格(函数空间, 见46Exx) |
Normed linear spaces and Banach spaces; Banach lattices (For function spaces, see 46Exx) |
||
|
46B03 |
Banach空间的同构理论(包括重新赋范) |
Isomorphic theory (including renorming) of Banach spaces |
||
|
46B04 |
Banach空间的等距理论 |
Isometric theory of Banach spaces |
||
|
46B06 |
Banach空间的渐近理论[参见52A23] |
Asymptotic theory of Banach spaces [See also 52A23] |
||
|
46B07 |
Banach空间的局部理论 |
Local theory of Banach spaces |
||
|
46B08 |
Banach空间理论中的超积法[参见46M07] |
Ultraproduct techniques in Banach space theory [See also 46M07] |
||
|
46B09 |
Banach空间理论中的概率方法[参见60Bxx] |
Probabilistic methods in Banach space theory [See also 60Bxx] |
||
|
46B10 |
对偶性与自反性[参见46A25] |
Duality and reflexivity [See also 46A25] |
||
|
46B15 |
可(求)和性与基[参见46A35] |
Summability and bases [See also 46A35] |
||
|
46B20 |
赋范线性空间的几何与结构 |
Geometry and structure of normed linear spaces |
||
|
46B22 |
Radon-Nikodym, Krein-Milman及相关性质[参见46G10] |
Radon-Nikodym, Krein-Milman and related properties [See also 46G10] |
||
|
46B25 |
一般理论的经典Banach空间 |
Classical Banach spaces in the general theory |
||
|
46B26 |
不可分Banach空间 |
Nonseparable Banach spaces |
||
|
46B28 |
算子空间; 张量积; 逼近性质[参见46A32, 46M05, 47L05, 47L20] |
Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20] |
||
|
46B40 |
有序赋范空间[参见46A40, 46B42] |
Ordered normed spaces [See also 46A40, 46B42] |
||
|
46B42 |
Banach格[参见46A40, 46B40] |
Banach lattices [See also 46A40, 46B40] |
||
|
46B45 |
Banach序列空间[参见46A45] |
Banach sequence spaces [See also 46A45] |
||
|
46B50 |
Banach(或赋范)空间中的紧性 |
Compactness in Banach (or normed) spaces |
||
|
46B70 |
赋范线性空间之间的插值(法)[参见46M35] |
Interpolation between normed linear spaces [See also 46M35] |
||
|
46B80 |
Banach空间的非线性分类;非线性商 |
Nonlinear classification of Banach spaces; nonlinear quotients |
||
|
46B85 |
离散度量空间嵌入Banach空间;在拓扑和计算机科学中的应用[参见05C12, 68Rxx] |
Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science [See also 05C12, 68Rxx] |
||
|
46B99 |
其它 |
None of the above, but in this section |
||
|
46Cxx |
内积空间及其推广, Hilbert空间(函数空间, 见46Exx) |
Inner product spaces and their generalizations, Hilbert spaces (For function spaces, see 46Exx) |
||
|
46C05 |
Hilbert与准-Hilbert空间: 几何与拓扑(包括半定内积空间) |
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) |
||
|
46C07 |
Hilbert子空间(=算子范围); 互补(Aronszajn、de Branges等)[参见46B70, 46M35] |
Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) [See also 46B70, 46M35] |
||
|
46C15 |
Hilbert空间的特征 |
Characterizations of Hilbert spaces |
||
|
46C20 |
不定内积空间(Krein空间、Pontryagin空间等)[参见47B50] |
Spaces with indefinite inner product (Krein spaces, Pontryagin spaces, etc.) [See also 47B50] |
||
|
46C50 |
内积的推广(半内积、偏内积等) |
Generalizations of inner products (semi-inner products, partial inner products, etc.) |
||
|
46C99 |
其它 |
None of the above, but in this section |
||
|
46Exx |
线性函数空间及其对偶[参见30H05, 32A38, 46F05](函数代数, 见46J10) |
Linear function spaces and their duals [See also 30H05, 32A38, 46F05] (For function algebras, see 46J10) |
||
|
46E05 |
连续、可微或解析函数的格 |
Lattices of continuous, differentiable or analytic functions |
||
|
46E10 |
连续、可微或解析函数的拓扑线性空间 |
Topological linear spaces of continuous, differentiable or analytic functions |
||
|
46E15 |
连续、可微或解析函数的Banach空间 |
Banach spaces of continuous, differentiable or analytic functions |
||
|
46E20 |
连续、可微或解析函数的Hilbert空间 |
Hilbert spaces of continuous, differentiable or analytic functions |
||
|
46E22 |
再生核的Hilbert空间(=[真]泛函Hilbert空间)包括de Branges-Rovnyak和其它结构空间)[参见47B32] |
Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) [See also 47B32] |
||
|
46E25 |
连续、可微或解析函数的环与代数(Banach函数代数, 见46J10, 46J15) |
Rings and algebras of continuous, differentiable or analytic functions (For Banach function algebras, see 46J10, 46J15) |
||
|
46E27 |
测度空间[参见28A33, 46Gxx] |
Spaces of measures [See also 28A33, 46Gxx] |
||
|
46E30 |
可测函数空间(Lp空间、Orlicz空间、Köthe函数空间、Lorentz空间、重排不变空间、理想空间等) |
Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
||
|
46E35 |
Sobolev空间与其它“光滑”函数, 嵌入定理, 迹定理 |
Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
||
|
46E39 |
离散变量函数的Sobolev(和相似类的)空间 |
Sobolev (and similar kinds of) spaces of functions of discrete variables |
||
|
46E40 |
向量值与算子值函数空间 |
Spaces of vector- and operator-valued functions |
||
|
46E50 |
无限维空间上可微或全纯函数空间[参见46G20, 46G25, 47H60] |
Spaces of differentiable or holomorphic functions on infinite-dimensional spaces [See also 46G20, 46G25, 47H60] |
||
|
46E99 |
其它 |
None of the above, but in this section |
||
|
46Fxx |
分布, 广义函数, 分布空间[参见46T30] |
Distributions, generalized functions, distribution spaces [See also 46T30] |
||
|
46F05 |
测试函数、分布与超分布的拓扑线性空间[参见46E10, 46E35] |
Topological linear spaces of test functions, distributions and ultradistributions [See also 46E10, 46E35] |
||
|
46F10 |
带分布的运算 |
Operations with distributions |
||
|
46F12 |
分布空间中的积分变换[参见42-XX, 44-XX] |
Integral transforms in distribution spaces [See also 42-XX, 44-XX] |
||
|
46F15 |
超函数, 解析泛函[参见32A25, 32A45, 32C35, 58J15] |
Hyperfunctions, analytic functionals [See also 32A25, 32A45, 32C35, 58J15] |
||
|
46F20 |
解析函数边值的分布与超分布[参见30D40, 30E25, 32A40] |
Distributions and ultradistributions as boundary values of analytic functions [See also 30D40, 30E25, 32A40] |
||
|
46F25 |
无限维空间上的分布[参见58C35] |
Distributions on infinite-dimensional spaces [See also 58C35] |
||
|
46F30 |
非线性分析的广义函数(Rosinger、Colombeau、非标准等) |
Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) |
||
|
46F99 |
其它 |
None of the above, but in this section |
||
|
46Gxx |
测度, 积分, 导数, 正则(所有涉及无限维空间)[参见28-XX, 46Txx] |
Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also 28-XX, 46Txx] |
||
|
46G05 |
导数[参见46T20, 58C20, 58C25] |
Derivatives [See also 46T20, 58C20, 58C25] |
||
|
46G10 |
向量值测度与积分[参见28Bxx, 46B22] |
Vector-valued measures and integration [See also 28Bxx, 46B22] |
||
|
46G12 |
抽象线性空间上的测度与积分[参见28C20, 46T12] |
Measures and integration on abstract linear spaces [See also 28C20, 46T12] |
||
|
46G15 |
泛函分析提升理论[参见28A51] |
Functional analytic lifting theory [See also 28A51] |
||
|
46G20 |
无限维正则[参见32-XX, 46E50, 46T25, 58B12, 58C10] |
Infinite-dimensional holomorphy [See also 32-XX, 46E50, 46T25, 58B12, 58C10] |
||
|
46G25 |
多重线性映射(的空间), 多项式[参见46E50, 46G20, 47H60] |
(Spaces of) multilinear mappings, polynomials [See also 46E50, 46G20, 47H60] |
||
|
46G99 |
其它 |
None of the above, but in this section |
||
|
46Hxx |
拓扑代数, 赋范环与代数, Banach代数(群代数, 卷积代数与测度代数, 见43A10, 43A20) |
Topological algebras, normed rings and algebras, Banach algebras (For group algebras, convolution algebras and measure algebras, see 43A10, 43A20) |
||
|
46H05 |
拓扑代数的一般理论 |
General theory of topological algebras |
||
|
46H10 |
理想与子代数 |
Ideals and subalgebras |
||
|
46H15 |
拓扑代数的表示 |
Representations of topological algebras |
||
|
46H20 |
拓扑代数的结构, 分类 |
Structure, classification of topological algebras |
||
|
46H25 |
赋范模与Banach模, 拓扑模(如果不属于13-XX或16-XX) |
Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) |
||
|
46H30 |
拓扑代数中的泛函微积分[参见47A60] |
Functional calculus in topological algebras [See also 47A60] |
||
|
46H35 |
算子的拓扑代数[主要见47Lxx] |
Topological algebras of operators [See mainly 47Lxx] |
||
|
46H40 |
自动连续性 |
Automatic continuity |
||
|
46H70 |
非结合拓扑代数[参见46K70, 46L70] |
Nonassociative topological algebras [See also 46K70, 46L70] |
||
|
46H99 |
其它 |
None of the above, but in this section |
||
|
46Jxx |
交换Banach代数与交换拓扑代数[参见46E25] |
Commutative Banach algebras and commutative topological algebras [See also 46E25] |
||
|
46J05 |
交换拓扑代数的一般理论 |
General theory of commutative topological algebras |
||
|
46J10 |
连续函数的Banach代数, 函数代数[参见46E25] |
Banach algebras of continuous functions, function algebras [See also 46E25] |
||
|
46J15 |
可微函数或解析函数的Banach代数, Hp-空间[参见30H10, 32A35, 32A37, 32A38, 42B30] |
Banach algebras of differentiable or analytic functions, Hp-spaces [See also 30H10, 32A35, 32A37, 32A38, 42B30] |
||
|
46J20 |
理想、极大理想、边界 |
Ideals, maximal ideals, boundaries |
||
|
46J25 |
交换拓扑代数的表示 |
Representations of commutative topological algebras |
||
|
46J30 |
子代数 |
Subalgebras |
||
|
46J40 |
交换拓扑代数的结构, 分类 |
Structure, classification of commutative topological algebras |
||
|
46J45 |
根Banach代数 |
Radical Banach algebras |
||
|
46J99 |
其它 |
None of the above, but in this section |
||
|
46Kxx |
具有对合的拓扑(环与)代数[参见16W10] |
Topological (rings and) algebras with an involution [See also 16W10] |
||
|
46K05 |
具有对合的拓扑代数的一般理论 |
General theory of topological algebras with involution |
||
|
46K10 |
具有对合的拓扑代数的表示 |
Representations of topological algebras with involution |
||
|
46K15 |
Hilbert代数 |
Hilbert algebras |
||
|
46K50 |
具有对合代数的非自伴(子)代数 |
Nonselfadjoint (sub)algebras in algebras with involution |
||
|
46K70 |
具有对合的非结合拓扑代数[参见46H70, 46L70] |
Nonassociative topological algebras with an involution [See also 46H70, 46L70] |
||
|
46K99 |
其它 |
None of the above, but in this section |
||
|
46Lxx |
自伴算子代数(C*-代数、von Neumann(W*-)代数等)[参见22D25, 47Lxx] |
Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) [See also 22D25, 47Lxx] |
||
|
46L05 |
C*-代数的一般理论 |
General theory of C*-algebras |
||
|
46L06 |
C*-代数的张量积 |
Tensor products of C*-algebras |
||
|
46L07 |
算子空间和完备有界映射[参见47L25] |
Operator spaces and completely bounded maps [See also 47L25] |
||
|
46L08 |
C*-模 |
C*-modules |
||
|
46L09 |
C*-代数的自由积 |
Free products of C*-algebras |
||
|
46L10 |
Von Neumann代数的一般理论 |
General theory of von Neumann algebras |
||
|
46L30 |
状态 |
States |
||
|
46L35 |
C*-代数的分类 |
Classifications of C*-algebras |
||
|
46L36 |
因子的分类 |
Classification of factors |
||
|
46L37 |
子因子及其分类 |
Subfactors and their classification |
||
|
46L40 |
自同构 |
Automorphisms |
||
|
46L45 |
C*-代数的分解理论 |
Decomposition theory for C*-algebras |
||
|
46L51 |
非交换测度和积分 |
Noncommutative measure and integration |
||
|
46L52 |
非交换函数空间 |
Noncommutative function spaces |
||
|
46L53 |
非交换概率和统计 |
Noncommutative probability and statistics |
||
|
46L54 |
自由概率和自由算子代数 |
Free probability and free operator algebras |
||
|
46L55 |
非交换动力系统[参见28Dxx, 37Kxx, 37Lxx, 54H20] |
Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20] |
||
|
46L57 |
C*-代数的导数、耗散与正半群 |
Derivations, dissipations and positive semigroups in C*-algebras |
||
|
46L60 |
自伴算子代数在物理中的应用[参见46N50, 46N55, 47L90, 81T05, 82B10, 82C10] |
Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10] |
||
|
46L65 |
量化, 形变 |
Quantizations, deformations |
||
|
46L70 |
非结合自伴算子代数[参见46H70, 46K70] |
Nonassociative selfadjoint operator algebras [See also 46H70, 46K70] |
||
|
46L80 |
K-理论与算子代数(包括循环理论)[参见18F25, 19Kxx, 46M20, 55Rxx, 58J22] |
K-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22] |
||
|
46L85 |
非交换拓扑[参见58B32, 58B34, 58J22] |
Noncommutative topology [See also 58B32, 58B34, 58J22] |
||
|
46L87 |
非交换微分几何[参见58B32, 58B34, 58J22] |
Noncommutative differential geometry [See also 58B32, 58B34, 58J22] |
||
|
46L89 |
基于C*-代数理论的其它“非交换”数学[参见58B32, 58B34, 58J22] |
Other “noncommutative” mathematics based on C*-algebra theory [See also 58B32, 58B34, 58J22] |
||
|
46L99 |
其它 |
None of the above, but in this section |
||
|
46Mxx |
泛函分析中的范畴论方法[参见18-XX] |
Methods of category theory in functional analysis [See also 18-XX] |
||
|
46M05 |
张量积[参见46A32, 46B28, 47A80] |
Tensor products [See also 46A32, 46B28, 47A80] |
||
|
46M07 |
超积[参见46B08, 46S20] |
Ultraproducts [See also 46B08, 46S20] |
||
|
46M10 |
射影与内射对象[参见46A22] |
Projective and injective objects [See also 46A22] |
||
|
46M15 |
范畴, 函子(K-理论与EXT等, 见19K33, 46L80, 46M18, 46M20) |
Categories, functors (For K-theory, EXT, etc., see 19K33, 46L80, 46M18, 46M20) |
||
|
46M18 |
同调方法(正合序列、右逆、提升等) |
Homological methods (exact sequences, right inverses, lifting, etc.) |
||
|
46M20 |
代数拓扑方法(上同调、层与丛理论等)[参见14F05, 18Fxx, 19Kxx, 32Cxx, 32Lxx, 46L80, 46M15, 46M18, 55Rxx] |
Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) [See also 14F05, 18Fxx, 19Kxx, 32Cxx, 32Lxx, 46L80, 46M15, 46M18, 55Rxx] |
||
|
46M35 |
拓扑向量空间的抽象插值(法)[参见46B70] |
Abstract interpolation of topological vector spaces [See also 46B70] |
||
|
46M40 |
归纳与射影极限[参见46A13] |
Inductive and projective limits [See also 46A13] |
||
|
46M99 |
其它 |
None of the above, but in this section |
||
|
46Nxx |
泛函分析的各种应用[参见47Nxx] |
Miscellaneous applications of functional analysis [See also 47Nxx] |
||
|
46N10 |
在最优化、凸分析、数学规划、经济方面的应用 |
Applications in optimization, convex analysis, mathematical programming, economics |
||
|
46N20 |
在微分与积分方程中的应用 |
Applications to differential and integral equations |
||
|
46N30 |
在概率论与统计学中的应用 |
Applications in probability theory and statistics |
||
|
46N40 |
在数值分析中的应用[参见65Jxx] |
Applications in numerical analysis [See also 65Jxx] |
||
|
46N50 |
在量子物理中的应用 |
Applications in quantum physics |
||
|
46N55 |
在统计物理中的应用 |
Applications in statistical physics |
||
|
46N60 |
在生物学与其它科学中的应用 |
Applications in biology and other sciences |
||
|
46N99 |
其它 |
None of the above, but in this section |
||
|
46Sxx |
泛函分析的其它(非经典)类型[参见47Sxx] |
Other (nonclassical) types of functional analysis [See also 47Sxx] |
||
|
46S10 |
域上而非R或C或四元数的泛函分析; 非Archimedes泛函分析[参见12J25, 32P05] |
Functional analysis over fields other than R or C or the quaternions; non-Archimedean functional analysis [See also 12J25, 32P05] |
||
|
46S20 |
非标准泛函分析[参见03H05] |
Nonstandard functional analysis [See also 03H05] |
||
|
46S30 |
构造性泛函分析[参见03F60] |
Constructive functional analysis [See also 03F60] |
||
|
46S40 |
模糊泛函分析[参见03E72] |
Fuzzy functional analysis [See also 03E72] |
||
|
46S50 |
概率度量线性空间中的泛函分析 |
Functional analysis in probabilistic metric linear spaces |
||
|
46S60 |
超空间(超流形)或分次空间上的泛函分析[参见58A50, 58C50] |
Functional analysis on superspaces (supermanifolds) or graded spaces [See also 58A50 and 58C50] |
||
|
46S99 |
其它 |
None of the above, but in this section |
||
|
46Txx |
非线性泛函分析[参见47Hxx, 47Jxx, 58Cxx, 58Dxx] |
Nonlinear functional analysis [See also 47Hxx, 47Jxx, 58Cxx, 58Dxx] |
||
|
46T05 |
无限维流形[参见53Axx, 57N20, 58Bxx, 58Dxx] |
Infinite-dimensional manifolds [See also 53Axx, 57N20, 58Bxx, 58Dxx] |
||
|
46T10 |
映射的流形 |
Manifolds of mappings |
||
|
46T12 |
流形上的测度(Gauss、圆柱形的等)和积分(Feynman、路径、Fresnel等)[参见28Cxx, 46G12, 60-XX] |
Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds [See also 28Cxx, 46G12, 60-XX] |
||
|
46T20 |
连续和可微映射[参见46G05] |
Continuous and differentiable maps [See also 46G05] |
||
|
46T25 |
全纯映射[参见46G20] |
Holomorphic maps [See also 46G20] |
||
|
46T30 |
非线性空间上的分布和广义函数[参见46Fxx] |
Distributions and generalized functions on nonlinear spaces [See also 46Fxx] |
||
|
46T99 |
其它 |
None of the above, but in this section |
||
|
47-XX |
算子理论 |
Operator theory |
||
|
47-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
47-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
47-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
47-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
47-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
47-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
47Axx |
线性算子的一般理论 |
General theory of linear operators |
||
|
47A05 |
一般理论(伴随的、共轭的、乘积、逆、域、值域等) |
General (adjoints, conjugates, products, inverses, domains, ranges, etc.) |
||
|
47A06 |
线性关系(多值线性算子) |
Linear relations (multivalued linear operators) |
||
|
47A07 |
形式(双线性的, 半双线性的, 多线性的) |
Forms (bilinear, sesquilinear, multilinear) |
||
|
47A10 |
谱, 预解式 |
Spectrum, resolvent |
||
|
47A11 |
局部谱性质 |
Local spectral properties |
||
|
47A12 |
数值值域, 数值半径 |
Numerical range, numerical radius |
||
|
47A13 |
多变量算子理论(谱、Fredholm等) |
Several-variable operator theory (spectral, Fredholm, etc.) |
||
|
47A15 |
不变子空间[参见47A46] |
Invariant subspaces [See also 47A46] |
||
|
47A16 |
循环向量, 超循环和混沌算子 |
Cyclic vector, hypercyclic and chaotic operators |
||
|
47A20 |
开拓、扩张、压缩 |
Dilations, extensions, compressions |
||
|
47A25 |
谱集 |
Spectral sets |
||
|
47A30 |
范数(不等式、多范数等) |
Norms (inequalities, more than one norm, etc.) |
||
|
47A35 |
遍历理论[参见28Dxx, 37Axx] |
Ergodic theory [See also 28Dxx, 37Axx] |
||
|
47A40 |
散射理论[参见34L25, 35P25, 37K15, 58J50, 81Uxx] |
Scattering theory [See also 34L25, 35P25, 37K15, 58J50, 81Uxx] |
||
|
47A45 |
收缩算子与非自伴算子的标准模(型) |
Canonical models for contractions and nonselfadjoint operators |
||
|
47A46 |
投影或不变子空间的链(套), 沿着链的积分等 |
Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. |
||
|
47A48 |
算子综合(=结点)、vessels、线性系统、特征函数、实现等 |
Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. |
||
|
47A50 |
未知向量线性算子的方程及不等式 |
Equations and inequalities involving linear operators, with vector unknowns |
||
|
47A52 |
不适定问题, 正则化[参见35R25, 47J06, 65F22, 65J20, 65L08, 65M30, 65R30] |
Ill-posed problems, regularization [See also 35R25, 47J06, 65F22, 65J20, 65L08, 65M30, 65R30] |
||
|
47A53 |
(半)Fredholm算子; 指数理论[参见58B15, 58J20] |
(Semi-) Fredholm operators; index theories [See also 58B15, 58J20] |
||
|
47A55 |
摄动理论[参见47H14, 58J37, 70H09, 81Q15] |
Perturbation theory [See also 47H14, 58J37, 70H09, 81Q15] |
||
|
47A56 |
其值是线性算子的函数(算子与矩阵值函数等, 包括解析和亚纯函数) |
Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) |
||
|
47A57 |
插值、矩及扩张问题中的算子方法[参见30E05, 42A70, 42A82, 44A60] |
Operator methods in interpolation, moment and extension problems [See also 30E05, 42A70, 42A82, 44A60] |
||
|
47A58 |
算子逼近理论 |
Operator approximation theory |
||
|
47A60 |
谓词演算 |
Functional calculus |
||
|
47A62 |
未知算子的线性算子方程 |
Equations involving linear operators, with operator unknowns |
||
|
47A63 |
算子不等式 |
Operator inequalities |
||
|
47A64 |
算子平均、短算子等 |
Operator means, shorted operators, etc. |
||
|
47A65 |
结构理论 |
Structure theory |
||
|
47A66 |
拟三角算子和非拟三角算子, 拟对角算子和非拟对角算子 |
Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators |
||
|
47A67 |
表示理论 |
Representation theory |
||
|
47A68 |
因子分解理论(包括Wiener-Mopf与谱因子分解) |
Factorization theory (including Wiener-Hopf and spectral factorizations) |
||
|
47A70 |
(广义)特征函数展开; 受控Hilbert空间 |
(Generalized) eigenfunction expansions; rigged Hilbert spaces |
||
|
47A75 |
特征值问题[参见47J10, 49R05] |
Eigenvalue problems [See also 47J10, 49R05] |
||
|
47A80 |
算子的张量积[参见46M05] |
Tensor products of operators [See also 46M05] |
||
|
47A99 |
其它 |
None of the above, but in this section |
||
|
47Bxx |
线性算子的特殊类 |
Special classes of linear operators |
||
|
47B06 |
Riesz算子; 特征值分布; 算子的近似数、算子的s-数、算子的Kolmogorov数、算子的熵数等 |
Riesz operators; eigenvalue distributions; approximation numbers, s-numbers, Kolmogorov numbers, entropy numbers, etc. of operators |
||
|
47B07 |
由紧性性质定义的算子 |
Operators defined by compactness properties |
||
|
47B10 |
属于算子理想(核、p-和、Schatten-von Neumann类中等)的算子[参见47L20] |
Operators belonging to operator ideals (nuclear, p-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20] |
||
|
47B15 |
Hermite与正规算子(谱测度、谓词演算等) |
Hermitian and normal operators (spectral measures, functional calculus, etc.) |
||
|
47B20 |
次正规算子、亚正规算子等 |
Subnormal operators, hyponormal operators, etc. |
||
|
47B25 |
对称与自伴算子(无界的) |
Symmetric and selfadjoint operators (unbounded) |
||
|
47B32 |
再生核Hilbert空间(包括de Branges、de Branges-Rovnyak和其它结构空间 )中算子[参见46E22] |
Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] |
||
|
47B33 |
复合算子 |
Composition operators |
||
|
47B34 |
核算子 |
Kernel operators |
||
|
47B35 |
Toeplitz算子, Hankel算子, Wiener-Hopf算子[参见45P05, 47G10; 其它积分算子, 参见32A25, 32M15] |
Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15] |
||
|
47B36 |
Jacobi(三对角)算子(矩阵)和推广 |
Jacobi (tridiagonal) operators (matrices) and generalizations |
||
|
47B37 |
特殊空间上的算子(加权位移、序列空间上的算子等) |
Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) |
||
|
47B38 |
函数空间上的算子(一般理论) |
Operators on function spaces (general) |
||
|
47B39 |
差分算子[参见39A70] |
Difference operators [See also 39A70] |
||
|
47B40 |
谱算子、可分解算子、良有界算子等 |
Spectral operators, decomposable operators, well-bounded operators, etc. |
||
|
47B44 |
增生算子、散逸型算子等 |
Accretive operators, dissipative operators, etc. |
||
|
47B47 |
换位子、求导、初等算子等 |
Commutators, derivations, elementary operators, etc. |
||
|
47B48 |
Banach代数上的算子 |
Operators on Banach algebras |
||
|
47B49 |
变换器, 保持(算子空间上的算子) |
Transformers, preservers (operators on spaces of operators) |
||
|
47B50 |
不定度量空间上的算子[参见46C50] |
Operators on spaces with an indefinite metric [See also 46C50] |
||
|
47B60 |
有序空间上的算子 |
Operators on ordered spaces |
||
|
47B65 |
正算子和有序有界算子 |
Positive operators and order-bounded operators |
||
|
47B80 |
随机算子[参见47H40, 60H25] |
Random operators [See also 47H40, 60H25] |
||
|
47B99 |
其它 |
None of the above, but in this section |
||
|
47Cxx |
作为代数系统元(素)的单线性算子 |
Individual linear operators as elements of algebraic systems |
||
|
47C05 |
代数中的算子 |
Operators in algebras |
||
|
47C10 |
*-代数中的算子 |
Operators in *-algebras |
||
|
47C15 |
C*-或von Neumann代数中的算子 |
Operators in C*- or von Neumann algebras |
||
|
47C99 |
其它 |
None of the above, but in this section |
||
|
47Dxx |
线性算子的群和半群, 及其推广和应用 |
Groups and semigroups of linear operators, their generalizations and applications |
||
|
47D03 |
线性算子的群和半群(非线性算子, 见47H20; 也见20M20) |
Groups and semigroups of linear operators (For nonlinear operators, see 47H20; see also 20M20) |
||
|
47D06 |
单参数半群与线性发展方程[参见34G10, 34K30] |
One-parameter semigroups and linear evolution equations [See also 34G10, 34K30] |
||
|
47D07 |
Markov半群及在扩散过程中的应用(Markov过程, 见60Jxx) |
Markov semigroups and applications to diffusion processes (For Markov processes, see 60Jxx) |
||
|
47D08 |
Schrödinger和Feynman-Kac半群 |
Schrödinger and Feynman-Kac semigroups |
||
|
47D09 |
算子正弦及余弦函数与高阶Cauchy问题[参见34G10] |
Operator sine and cosine functions and higher-order Cauchy problems [See also 34G10] |
||
|
47D60 |
C-半群, 正则半群 |
C-semigroups, regularized semigroups |
||
|
47D62 |
积分半群 |
Integrated semigroups |
||
|
47D99 |
其它 |
None of the above, but in this section |
||
|
47Exx |
常微分算子[参见34Bxx, 34Lxx] |
Ordinary differential operators [See also 34Bxx, 34Lxx] |
||
|
47E05 |
常微分算子[参见34Bxx, 34Lxx](还必须在47-XX中至少指定一个其它分类号) |
Ordinary differential operators [See also 34Bxx, 34Lxx](should also be assigned at least one other classification number in section 47) |
||
|
47E99 |
其它 |
None of the above, but in this section |
||
|
47Fxx |
偏微分算子[参见35Pxx, 58Jxx] |
Partial differential operators [See also 35Pxx, 58Jxx] |
||
|
47F05 |
偏微分算子[参见35Pxx, 58Jxx](还必须在47-XX中至少指定一个其它分类号) |
Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47) |
||
|
47F99 |
其它 |
None of the above, but in this section |
||
|
47Gxx |
积分算子, 积分-微分算子与伪微分算子[参见58Jxx] |
Integral, integro-differential, and pseudodifferential operators [See also 58Jxx] |
||
|
47G10 |
积分算子[参见45P05] |
Integral operators [See also 45P05] |
||
|
47G20 |
积分-微分算子[参见34K30, 35R09, 35R10, 45Jxx, 45Kxx] |
Integro-differential operators [See also 34K30, 35R09, 35R10, 45Jxx, 45Kxx] |
||
|
47G30 |
伪微分算子[参见35Sxx, 58Jxx] |
Pseudodifferential operators [See also 35Sxx, 58Jxx] |
||
|
47G40 |
位势算子[参见31-XX] |
Potential operators [See also 31-XX] |
||
|
47G99 |
其它 |
None of the above, but in this section |
||
|
47Hxx |
非线性算子及其性质(整体及几何方面, 见49J53, 58-XX, 特别地, 见58Cxx) |
Nonlinear operators and their properties (For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx) |
||
|
47H04 |
集值算子[参见28B20, 54C60, 58C06] |
Set-valued operators [See also 28B20, 54C60, 58C06] |
||
|
47H05 |
单调算子和推广 |
Monotone operators and generalizatios |
||
|
47H06 |
增生算子、耗散算子等 |
Accretive operators, dissipative operators, etc. |
||
|
47H07 |
在有序Banach空间或其它有序拓扑向量空间上的单调算子及正算子 |
Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces |
||
|
47H08 |
非紧性测度和凝聚映射、K-集压缩等 |
Measures of noncompactness and condensing mappings, K-set contractions, etc. |
||
|
47H09 |
压缩型映射、非扩张映射、A真映射等 |
Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc. |
||
|
47H10 |
不动点定理[参见37C25, 54H25, 55M20, 58C30] |
Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30] |
||
|
47H11 |
度理论[参见55M25, 58C30] |
Degree theory [See also 55M25, 58C30] |
||
|
47H14 |
非线性算子的摄动[参见47A55, 58J37, 70H09, 70K60, 81Q51] |
Perturbations of nonlinear operators [See also 47A55, 58J37, 70H09, 70K60, 81Q51] |
||
|
47H20 |
非线性算子半群[参见37L05, 47J35, 54H15, 58D07] |
Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07] |
||
|
47H25 |
非线性遍历定理[参见28Dxx, 37Axx, 47A35] |
Nonlinear ergodic theorems [See also 28Dxx, 37Axx, 47A35] |
||
|
47H30 |
特殊非线性算子(叠加算子、Hammerstein算子、Nemytskiǐ算子、Uryson算子等)[参见45Gxx, 45P05] |
Particular nonlinear operators (superposition, Hammerstein, Nemytskiǐ, Uryson, etc.) [See also 45Gxx, 45P05] |
||
|
47H40 |
随机算子[参见47B80, 60H25] |
Random operators [See also 47B80, 60H25] |
||
|
47H60 |
多线性和多项式算子[参见46G25] |
Multilinear and polynomial operators [See also 46G25] |
||
|
47H99 |
其它 |
None of the above, but in this section |
||
|
47Jxx |
涉及非线性算子的方程和不等式[参见46Txx](全局和几何方面, 见58-XX) |
Equations and inequalities involving nonlinear operators [See also 46Txx] (For global and geometric aspects, see 58-XX) |
||
|
47J05 |
涉及非线性算子的方程(一般理论)[参见47H10, 47J25] |
Equations involving nonlinear operators (general) [See also 47H10, 47J25] |
||
|
47J06 |
非线性不适定问题[参见35R25, 47A52, 65F22, 65J20, 65L08, 65M30, 65R30] |
Nonlinear ill-posed problems [See also 35R25, 47A52, 65F22, 65J20, 65L08, 65M30, 65R30] |
||
|
47J07 |
抽象逆映射和隐函数定理[参见46T20, 58C15] |
Abstract inverse mapping and implicit function theorems [See also 46T20 and 58C15] |
||
|
47J10 |
非线性谱理论, 非线性特征值问题[参见49R05] |
Nonlinear spectral theory, nonlinear eigenvalue problems [See also 49R05] |
||
|
47J15 |
抽象分歧理论[参见34C23, 37Gxx, 58E07, 58E09] |
Abstract bifurcation theory [See also 34C23, 37Gxx, 58E07, 58E09] |
||
|
47J20 |
涉及非线性算子的变分和不等式的其它类型(一般理论)[参见49J40] |
Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] |
||
|
47J22 |
包含变分和其它类型[参见34A60, 49J21, 49K21] |
Variational and other types of inclusions [See also 34A60, 49J21, 49K21] |
||
|
47J25 |
迭代过程[参见65J15] |
Iterative procedures [See also 65J15] |
||
|
47J30 |
变分法[参见58Exx] |
Variational methods [See also 58Exx] |
||
|
47J35 |
非线性发展方程[参见34G20, 35K90, 35L90, 35Qxx, 35R20, 37Kxx, 37Lxx, 47H20, 58D25] |
Nonlinear evolution equations [See also 34G20, 35K90, 35L90, 35Qxx, 35R20, 37Kxx, 37Lxx, 47H20, 58D25] |
||
|
47J40 |
具有滞后算子的方程[参见34C55, 74N30] |
Equations with hysteresis operators [See also 34C55, 74N30] |
||
|
47J99 |
其它 |
None of the above, but in this section |
||
|
47Lxx |
算子的线性空间和代数[参见46Lxx] |
Linear spaces and algebras of operators [See also 46Lxx] |
||
|
47L05 |
算子的线性空间[参见46A32和46B28] |
Linear spaces of operators [See also 46A32 and 46B28] |
||
|
47L07 |
算子的凸集和锥[参见46A55] |
Convex sets and cones of operators [See also 46A55] |
||
|
47L10 |
Banach空间和其它拓扑线性空间上算子的代数 |
Algebras of operators on Banach spaces and other topological linear spaces |
||
|
47L15 |
具有符号结构的算子代数 |
Operator algebras with symbol structure |
||
|
47L20 |
算子理想[参见47B10] |
Operator ideals [See also 47B10] |
||
|
47L22 |
多项式理想及多线性映射的理想 |
Ideals of polynomials and of multilinear mappings |
||
|
47L25 |
算子空间(=矩阵赋范空间)[参见46L07] |
Operator spaces (= matricially normed spaces) [See also 46L07] |
||
|
47L30 |
Hilbert空间上的抽象算子代数 |
Abstract operator algebras on Hilbert spaces |
||
|
47L35 |
套代数, CSL代数 |
Nest algebras, CSL algebras |
||
|
47L40 |
极限代数, C*代数的子代数 |
Limit algebras, subalgebras of C*-algebras |
||
|
47L45 |
对偶代数; 弱闭单生成算子代数 |
Dual algebras; weakly closed singly generated operator algebras |
||
|
47L50 |
算子代数的对偶空间 |
Dual spaces of operator algebras |
||
|
47L55 |
(非自伴)算子代数的表示 |
Representations of (nonselfadjoint) operator algebras |
||
|
47L60 |
无界算子的代数; 算子的偏代数 |
Algebras of unbounded operators; partial algebras of operators |
||
|
47L65 |
叉积代数(解析叉积) |
Crossed product algebras (analytic crossed products) |
||
|
47L70 |
非结合非自伴算子代数 |
Nonassociative nonselfadjoint operator algebras |
||
|
47L75 |
其它非自伴算子代数 |
Other nonselfadjoint operator algebras |
||
|
47L80 |
特殊型算子(Toeplitz、积分、伪微分等)的代数 |
Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) |
||
|
47L90 |
算子代数应用于物理 |
Applications of operator algebras to physics |
||
|
47L99 |
其它 |
None of the above, but in this section |
||
|
47Nxx |
算子理论的各种应用[参见46Nxx] |
Miscellaneous applications of operator theory [See also 46Nxx] |
||
|
47N10 |
在最优化、凸分析、数学规划、经济中的应用 |
Applications in optimization, convex analysis, mathematical programming, economics |
||
|
47N20 |
在微分与积分方程中的应用 |
Applications to differential and integral equations |
||
|
47N30 |
在概率论与统计学中的应用 |
Applications in probability theory and statistics |
||
|
47N40 |
在数值分析中的应用[参见65Jxx] |
Applications in numerical analysis [See also 65Jxx] |
||
|
47N50 |
在物理科学中的应用 |
Applications in physics sciences |
||
|
47N60 |
在化学和生命科学中的应用 |
Applications in chemistry and life sciences |
||
|
47N70 |
在系统论、回路和控制论中的应用 |
Applications in systems theory, circuits, and control theory |
||
|
47N99 |
其它 |
None of the above, but in this section |
||
|
47Sxx |
算子理论的其它(非经典)类型[参见46Sxx] |
Other (nonclassical) types of operator theory [See also 46Sxx] |
||
|
47S10 |
域上而非R或C或四元数上的算子理论; 非Archimedes算子理论 |
Operator theory over fields other than R, C or the quaternions; non-Archimedean operator theory |
||
|
47S20 |
非标准算子理论[参见03H05] |
Nonstandard operator theory [See also 03H05] |
||
|
47S30 |
构造性算子理论[参见03F60] |
Constructive operator theory [See also 03F60] |
||
|
47S40 |
模糊算子理论[参见03E72] |
Fuzzy operator theory [See also 03E72] |
||
|
47S50 |
概率度量线性空间中的算子理论[参见54E70] |
Operator theory in probabilistic metric linear spaces [See also 54E70] |
||
|
47S99 |
其它 |
None of the above, but in this section |
||
|
49-XX |
变分法与最优控制; 最优化[参见34H05, 34K35, 65Kxx, 90Cxx, 93-XX] |
Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] |
||
|
49-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
49-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
49-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
49-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
49-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
49-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
49Jxx |
存在性理论 |
Existence theories |
||
|
49J05 |
一个独立变量的自由问题 |
Free problems in one independent variable |
||
|
49J10 |
两个或更多独立变量的自由问题 |
Free problems in two or more independent variables |
||
|
49J15 |
涉及常微分方程的最优控制问题 |
Optimal control problems involving ordinary differential equations |
||
|
49J20 |
涉及偏微分方程的最优控制问题 |
Optimal control problems involving partial differential equations |
||
|
49J21 |
涉及非微分方程关系的最优控制问题 |
Optimal control problems involving relations other than differential equations |
||
|
49J27 |
抽象空间中的问题[参见90C48, 93C25] |
Problems in abstract spaces [See also 90C48, 93C25] |
||
|
49J30 |
属于约束类(Lipschitz控制、开关式控制等)的最优解 |
Optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) |
||
|
49J35 |
极小极大问题 |
Minimax problems |
||
|
49J40 |
涉及变分不等式的变分法[参见47J20] |
Variational methods including variational inequalities [See also 47J20] |
||
|
49J45 |
涉及半连续性与收敛性问题的方法; 松弛 |
Methods involving semicontinuity and convergence; relaxation |
||
|
49J50 |
Fréchet与Gateaux可微性[参见46G05, 58C20] |
Fréchet and Gateaux differentiability [See also 46G05, 58C20] |
||
|
49J52 |
非光滑分析[参见46G05, 58C50] |
Nonsmooth analysis [See also 46G05, 58C50] |
||
|
49J53 |
集值和变分分析[参见28B20, 47H04, 54C60, 58C06] |
Set-valued and variational analysis [See also 28B20, 47H04, 54C60, 58C06] |
||
|
49J55 |
涉及随机性的问题[参见93E20] |
Problems involving randomness [See also 93E20] |
||
|
49J99 |
其它 |
None of the above, but in this section |
||
|
49Kxx |
最优性的条件 |
optimality conditions |
||
|
49K05 |
一个独立变量的自由问题 |
Free problems in one independent variable |
||
|
49K10 |
两个或更多独立变量的自由问题 |
Free problems in two or more independent variables |
||
|
49K15 |
涉及常微分方程的问题 |
Problems involving ordinary differential equations |
||
|
49K20 |
涉及偏微分方程的问题 |
Problems involving partial differential equations |
||
|
49K21 |
涉及非微分方程关系的问题 |
Problems involving relations other than differential equations |
||
|
49K27 |
抽象空间中的问题[参见90C48, 93C25] |
Problems in abstract spaces [See also 90C48, 93C25] |
||
|
49K30 |
属于约束类的最优解 |
Optimal solutions belonging to restricted classes |
||
|
49K35 |
极小极大问题 |
Minimax problems |
||
|
49K40 |
灵敏度, 稳定性, 适定性[参见90C31] |
Sensitivity, stability, well-posedness [See also 90C31] |
||
|
49K45 |
涉及随机性的问题[参见93E20] |
Problems involving randomness [See also 93E20] |
||
|
49K99 |
其它 |
None of the above, but in this section |
||
|
49Lxx |
Hamilton-Jacobi理论, 包括动态规划 |
Hamilton-Jacobi theories, including dynamic programming |
||
|
49L20 |
动态规划方法 |
Dynamic programming method |
||
|
49L25 |
粘性解 |
Viscosity solutions |
||
|
49L99 |
其它 |
None of the above, but in this section |
||
|
49Mxx |
数值方法[参见90Cxx, 65Kxx] |
Numerical methods [See also 90Cxx, 65Kxx] |
||
|
49M05 |
建立在必要条件上的方法 |
Methods based on necessary conditions |
||
|
49M15 |
Newton型方法 |
Newton-type methods |
||
|
49M20 |
松弛型法 |
Methods of relaxation type |
||
|
49M25 |
离散逼近 |
Discrete approximations |
||
|
49M27 |
分解法 |
Decomposition methods |
||
|
49M29 |
涉及对偶性的方法 |
Methods involving duality |
||
|
49M30 |
其它方法 |
Other methods |
||
|
49M37 |
非线性规划型方法[参见90C30, 65Kxx] |
Methods of nonlinear programming type [See also 90C30, 65Kxx] |
||
|
49M99 |
其它 |
None of the above, but in this section |
||
|
49Nxx |
杂题 |
Miscellaneous topics |
||
|
49N05 |
线性最优控制问题[参见93C05] |
Linear optimal control problems [See also 93C05] |
||
|
49N10 |
线性-二次问题 |
Linear-quadratic problems |
||
|
49N15 |
对偶性理论 |
Duality theory |
||
|
49N20 |
周期最优化 |
Periodic optimization |
||
|
49N25 |
脉冲最优控制问题 |
Impulsive optimal control problems |
||
|
49N30 |
不完全信息问题[参见93C41] |
Problems with incomplete information [See also 93C41] |
||
|
49N35 |
最优反馈综合法[参见93B52] |
Optimal feedback synthesis [See also 93B52] |
||
|
49N45 |
逆问题 |
Inverse problems |
||
|
49N60 |
解的正则性 |
Regularity of solutions |
||
|
49N70 |
微分对策 |
Differential games |
||
|
49N75 |
追逃对策 |
Pursuit and evasion games |
||
|
49N90 |
最优控制和微分对策的应用[参见90C90, 93C95] |
Applications of optimal control and differential games [See also 90C90, 93C95] |
||
|
49N99 |
其它 |
None of the above, but in this section |
||
|
49Qxx |
流形[参见58Exx] |
Manifolds [See also 58Exx] |
||
|
49Q05 |
极小曲面[参见53A10, 58E12] |
Minimal surfaces [See also 53A10, 58E12] |
||
|
49Q10 |
形状而非极小曲面的最优化[参见90C90] |
Optimization of shapes other than minimal surfaces [See also 90C90] |
||
|
49Q12 |
灵敏度分析 |
Sensitivity analysis |
||
|
49Q15 |
几何测度与积分理论, 积分与正规流[参见28A75, 32C30, 58A25, 58C35] |
Geometric measure and integration theory, integral and normal currents [See also 28A75, 32C30, 58A25, 58C35] |
||
|
49Q20 |
几何测度理论合并中的变分问题 |
Variational problems in a geometric measure-theoretic setting |
||
|
49Q99 |
其它 |
None of the above, but in this section |
||
|
49Rxx |
算子特征值的变分法[参见47A75] |
Variational methods for eigenvalues of operators [See also 47A75] |
||
|
49R05 |
算子特征值的变分法[参见47A75](还必须在49-XX中至少指定一个其它分类号) |
Variational methods for eigenvalues of operators [See also 47A75] (should also be assigned at least one other classification number in Section 49) |
||
|
49R99 |
其它 |
None of the above, but in this section |
||
|
49Sxx |
物理学的变分原理 |
Variational principle of physics |
||
|
49S05 |
物理学的变分原理(还必须在49-XX中至少指定一个其它分类号) |
Variational principle of physics(should also be assigned at least one other classification number in Section 49) |
||
|
49S99 |
其它 |
None of the above, but in this section |
||
|
51-XX |
几何学(代数几何, 见14-XX) |
Geometry (For algebraic geometry, see 14-XX) |
||
|
51-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
51-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
51-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
51-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
51-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
51-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
51Axx |
线性关联几何 |
Linear incidence geometry |
||
|
51A05 |
一般理论及射影几何 |
General theory and projective geometries |
||
|
51A10 |
同态, 自同构与对偶性 |
Homomorphism, automorphism and dualities |
||
|
51A15 |
平行性结构 |
Structures with parallelism |
||
|
51A20 |
构形定理 |
Configuration theorems |
||
|
51A25 |
代数化[参见12Kxx, 20N05] |
Algebraization [See also 12Kxx, 20N05] |
||
|
51A30 |
Desargues和Pappus几何 |
Desarguesian and Pappian geometries |
||
|
51A35 |
非Desargues仿射与射影平面 |
Non-Desarguesian affine and projective planes |
||
|
51A40 |
平移平面与展形 |
Translation planes and spreads |
||
|
51A45 |
可嵌入射影几何的关联结构 |
Incidence structures imbeddable into projective geometries |
||
|
51A50 |
(配)极几何、辛空间、正交空间 |
Polar geometry, symplectic spaces, orthogonal spaces |
||
|
51A99 |
其它 |
None of the above, but in this section |
||
|
51Bxx |
非线性关联几何 |
Nonlinear incidence geometry |
||
|
51B05 |
一般理论 |
General theory |
||
|
51B10 |
Möbius几何 |
Möbius geometries |
||
|
51B15 |
Laguerre几何 |
Laguerre geometries |
||
|
51B20 |
Minkowski几何 |
Minkowski geometries |
||
|
51B25 |
Lie几何 |
Lie geometries |
||
|
51B99 |
其它 |
None of the above, but in this section |
||
|
51Cxx |
环几何(Hjelmslev、Barbilian等) |
Ring geometry (Hjelmslev, Barbilian, etc.) |
||
|
51C05 |
环几何(Hjelmslev、Barbilian等) |
Ring geometry (Hjelmslev, Barbilian, etc.) |
||
|
51C99 |
其它 |
None of the above, but in this section |
||
|
51Dxx |
几何闭包系统 |
Geometric closure systems |
||
|
51D05 |
抽象(Maeda)几何 |
Abstract (Maeda) geometries |
||
|
51D10 |
有交换公理的抽象几何 |
Abstract geometries with exchange axiom |
||
|
51D15 |
有平行性的抽象几何 |
Abstract geometries with parallelism |
||
|
51D20 |
组合几何[参见05B25, 05B35] |
Combinatorial geometries [See also 05B25, 05B35] |
||
|
51D25 |
子空间的格[参见05B35] |
Lattices of subspaces [See also 05B35] |
||
|
51D30 |
连续几何与相关论题[参见06Cxx] |
Continuous geometries and related topics [See also 06Cxx] |
||
|
51D99 |
其它 |
None of the above, but in this section |
||
|
51Exx |
有限几何与特殊关联结构 |
Finite geometry and special incidence structures |
||
|
51E05 |
一般区组设计[参见05B05] |
General block designs [See also 05B05] |
||
|
51E10 |
Steiner系统 |
Steiner systems |
||
|
51E12 |
广义四边形, 广义多边形 |
Generalized quadrangles, generalized polygons |
||
|
51E14 |
有限部分几何(一般理论), 网, 部分展形 |
Finite partial geometries (general), nets, partial spreads |
||
|
51E15 |
仿射与射影平面 |
Affine and projective planes |
||
|
51E20 |
有限射影空间中的组合结构[参见05Bxx] |
Combinatorial structures in finite projective spaces [See also 05Bxx] |
||
|
51E21 |
块集, 卵形线, k-弧 |
Blocking sets, ovals, k-arcs |
||
|
51E22 |
Galois空间中的线性码与caps[参见94B05] |
Linear codes and caps in Galois spaces [See also 94B05] |
||
|
51E23 |
展形与填装问题 |
Spreads and packing problems |
||
|
51E24 |
图的造型与图的几何 |
Buildings and the geometry of diagrams |
||
|
51E25 |
其它有限非线性几何 |
Other finite nonlinear geometries |
||
|
51E26 |
其它有限线性几何 |
Other finite linear geometries |
||
|
51E30 |
其它有限关联结构[参见05B30] |
Other finite incidence structures [See also 05B30] |
||
|
51E99 |
其它 |
None of the above, but in this section |
||
|
51Fxx |
度量几何 |
Metric geometry |
||
|
51F05 |
绝对平面 |
Absolute planes |
||
|
51F10 |
绝对空间 |
Absolute spaces |
||
|
51F15 |
反射群, 反射几何[参见20H10, 20H15; Coxeter群, 见20F55] |
Reflection groups, reflection geometries [See also 20H10, 20H15; for Coxeter groups, see 20F55] |
||
|
51F20 |
同余与正交性[参见20H05] |
Congruence and orthogonality [See also 20H05] |
||
|
51F25 |
正交群与酉群[参见20H05] |
Orthogonal and unitary groups [See also 20H05] |
||
|
51F99 |
其它 |
None of the above, but in this section |
||
|
51Gxx |
有序几何(有序关联结构等) |
Ordered geometries (ordered incidence structures, etc.) |
||
|
51G05 |
有序几何(有序关联结构等) |
Ordered geometries (ordered incidence structures, etc.) |
||
|
51G99 |
其它 |
None of the above, but in this section |
||
|
51Hxx |
拓扑几何 |
Topological geometry |
||
|
51H05 |
一般理论 |
General theory |
||
|
51H10 |
拓扑线性关联结构 |
Topological linear incidence structures |
||
|
51H15 |
拓扑非线性关联结构 |
Topological nonlinear incidence structures |
||
|
51H20 |
流形上的拓扑几何[参见57-XX] |
Topological geometries on manifolds [See also 57-XX] |
||
|
51H25 |
具有可微结构的几何[参见53Cxx, 53C70] |
Geometries with differentiable structure [See also 53Cxx, 53C70] |
||
|
51H30 |
具有代数流形结构的几何[参见14-XX] |
Geometries with algebraic manifold structure [See also 14-XX] |
||
|
51H99 |
其它 |
None of the above, but in this section |
||
|
51Jxx |
关联群 |
Incidence groups |
||
|
51J05 |
一般理论 |
General theory |
||
|
51J10 |
射影关联群 |
Projective incidence groups |
||
|
51J15 |
运动空间 |
Kinematic spaces |
||
|
51J20 |
拟域与拟代数表示[参见12K05, 16Y30] |
Representation by near-fields and near-algebras [See also 12K05, 16Y30] |
||
|
51J99 |
其它 |
None of the above, but in this section |
||
|
51Kxx |
距离几何 |
Distance geometry |
||
|
51K05 |
一般理论 |
General theory |
||
|
51K10 |
综合微分几何 |
Synthetic differential geometry |
||
|
51K99 |
其它 |
None of the above, but in this section |
||
|
51Lxx |
几何有序结构[参见53C75] |
Geometric order structures [See also 53C75] |
||
|
51L05 |
不可微曲线的序几何 |
Geometry of orders of nondifferentiable curves |
||
|
51L10 |
直接可微曲线 |
Directly differentiable curves |
||
|
51L15 |
通过直接法的n极点定理 |
n-vertex theorems via direct methods |
||
|
51L20 |
曲面的序几何 |
Geometry of orders of surfaces |
||
|
51L99 |
其它 |
None of the above, but in this section |
||
|
51Mxx |
实几何与复几何 |
Real and complex geometry |
||
|
51M04 |
Euclid几何中的基本问题 |
Elementary problems in Euclidean geometries |
||
|
51M05 |
Euclid几何(一般问题)及其推广 |
Euclidean geometries (general) and generalizations |
||
|
51M09 |
双曲几何与椭圆几何中的基本问题 |
Elementary problems in hyperbolic and elliptic geometries |
||
|
51M10 |
双曲几何与椭圆几何(一般问题)及其推广 |
Hyperbolic and elliptic geometries (general) and generalizations |
||
|
51M15 |
几何构造 |
Geometric constructions |
||
|
51M16 |
不等式与极值问题(凸问题, 见52A40) |
Inequalities and extremum problems (For convex problems, see 52A40) |
||
|
51M20 |
多面体与多胞形; 正则图, 空间除法[参见51F15] |
Polyhedra and polytopes; regular figures, division of spaces [See also 51F15] |
||
|
51M25 |
长度、面积与体积[参见26B15] |
Length, area and volume [See also 26B15] |
||
|
51M30 |
线几何及其推广[参见53A25] |
Line geometries and their generalizations [See also 53A25] |
||
|
51M35 |
射影几何中基本流形的综合处理(Grassmannians, Veronesians及其推广)[参见14M15] |
Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15] |
||
|
51M99 |
其它 |
None of the above, but in this section |
||
|
51Nxx |
解析几何与画法几何 |
Analytic and descriptive geometry |
||
|
51N05 |
画法几何[参见65D17, 68U07] |
Descriptive geometry [See also 65D17, 68U07] |
||
|
51N10 |
仿射解析几何 |
Affine analytic geometry |
||
|
51N15 |
射影解析几何 |
Projective analytic geometry |
||
|
51N20 |
Euclid解析几何 |
Euclidean analytic geometry |
||
|
51N25 |
具有其它变换群的解析几何 |
Analytic geometry with other transformation groups |
||
|
51N30 |
经典群几何[参见20Gxx, 14L35] |
Geometry of classical groups [See also 20Gxx, 14L35] |
||
|
51N35 |
经典代数几何问题[参见14Nxx] |
Questions of classical algebraic geometry [See also 14Nxx] |
||
|
51N99 |
其它 |
None of the above, but in this section |
||
|
51Pxx |
几何与物理学(还应在70-XX至86-XX部分至少指定一个分类号) |
Geometry and physics (should also be assigned at least one other classification number from Sections 70-86) |
||
|
51P05 |
几何与物理学(还应在70-XX至86-XX部分至少指定一个分类号) |
Geometry and physics (should also be assigned at least one other classification number from Sections 70-86) |
||
|
51P99 |
其它 |
None of the above, but in this section |
||
|
52-XX |
凸几何与离散几何 |
Convex and discrete geometry |
||
|
52-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
52-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
52-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
52-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
52-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
52-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
52Axx |
一般凸性 |
General convexity |
||
|
52A01 |
公理化与广义凸性 |
Axiomatic and generalized convexity |
||
|
52A05 |
没有维数约束的凸集 |
Convex sets without dimension restrictions |
||
|
52A07 |
拓扑向量空间中的凸集[参见46A55] |
Convex sets in topological vector spaces [See also 46A55] |
||
|
52A10 |
2维凸集(包括凸曲线)[参见53A04] |
Convex sets in 2 dimensions (including convex curves) [See also 53A04] |
||
|
52A15 |
3维凸集(包括凸曲面)[参见53A05, 53C45] |
Convex sets in 3 dimensions (including convex surfaces) [See also 53A05, 53C45] |
||
|
52A20 |
n维凸集(包括凸超曲面)[参见53A07, 53C45] |
Convex sets in n dimensions (including convex hypersurfaces) [See also 53A07, 53C45] |
||
|
52A21 |
有限维Banach空间(包括特殊范数、高维环面等)[参见46Bxx] |
Finite-dimensional Banach spaces (including special norms, zonoids, etc.) [See also 46Bxx] |
||
|
52A22 |
随机凸集与积分几何[参见53C65, 60D05] |
Random convex sets and integral geometry [See also 53C65, 60D05] |
||
|
52A23 |
凸体渐近论[参见46B06] |
Asymptotic theory of convex bodies [See also 46B06] |
||
|
52A27 |
用凸集逼近 |
Approximation by convex sets |
||
|
52A30 |
凸集的变量(星形的、(m, n)-凸等) |
Variants of convex sets (star-shaped, (m, n)-convex, etc.) |
||
|
52A35 |
Helly型定理与几何横截理论 |
Helly-type theorems and geometric transversal theory |
||
|
52A37 |
组合凸性的其它问题 |
Other problems of combinatorial convexity |
||
|
52A38 |
长度、面积、体积[参见26B15, 28A75, 49Q20] |
Length, area, volume [See also 26B15, 28A75, 49Q20] |
||
|
52A39 |
混合体积及相关论题 |
Mixed volumes and related topics |
||
|
52A40 |
不等式与极值问题 |
Inequalities and extremum problems |
||
|
52A41 |
凸函数与凸规划[参见26B25, 90C25] |
Convex functions and convex programs [See also 26B25, 90C25] |
||
|
52A55 |
球面与双曲凸性 |
Spherical and hyperbolic convexity |
||
|
52A99 |
其它 |
None of the above, but in this section |
||
|
52Bxx |
多胞形与多面体 |
Polytopes and polyhedra |
||
|
52B05 |
组合性质(面数、最短路径等)[参见05Cxx] |
Combinatorial properties (number of faces, shortest paths, etc.) [See also 05Cxx] |
||
|
52B10 |
三维多胞形 |
Three-dimensional polytopes |
||
|
52B11 |
n-维多胞形 |
n-dimensional polytopes |
||
|
52B12 |
特殊多胞形(线性规划、中心对称等) |
Special polytopes (linear programming, centrally symmetric, etc.) |
||
|
52B15 |
多胞形的对称性质 |
Symmetry properties of polytopes |
||
|
52B20 |
格多胞形(包括与交换代数及代数几何的关系)[参见06A11, 13F20, 13Hxx] |
Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx] |
||
|
52B22 |
Shellability |
Shellability |
||
|
52B35 |
Gale与其它图(表) |
Gale and other diagrams |
||
|
52B40 |
拟阵(在凸多胞形前后关系中的实现、组合结构中的凸性等)[参见05B35, 52Cxx] |
Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx] |
||
|
52B45 |
剖分与赋值(Hilbert第三问题等) |
Dissections and valuations (Hilbert’s third problem, etc.) |
||
|
52B55 |
关于凸性的计算方面(计算几何与算法, 见68Q25, 68U05; 数值算法, 见65Yxx)[参见68Uxx] |
Computational aspects related to convexity (For computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx) [See also 68Uxx] |
||
|
52B60 |
多胞形的等周问题 |
Isoperimetric problems for polytopes |
||
|
52B70 |
多面体流形 |
Polyhedral manifolds |
||
|
52B99 |
其它 |
None of the above, but in this section |
||
|
52Cxx |
离散几何 |
Discrete geometry |
||
|
52C05 |
格与2维凸体[参见11H06, 11H31, 11P21] |
Lattices and convex bodies in 2 dimensions [See also 11H06, 11H31, 11P21] |
||
|
52C07 |
格与n维凸体[参见11H06, 11H31, 11P21] |
Lattices and convex bodies in n dimensions [See also 11H06, 11H31, 11P21] |
||
|
52C10 |
Erdös问题与离散几何的相关论题[参见11Hxx] |
Erdös problems and related topics of discrete geometry [See also 11Hxx] |
||
|
52C15 |
填装与2维覆盖[参见05B40, 11H31] |
Packing and covering in 2 dimensions [See also 05B40, 11H31] |
||
|
52C17 |
填装与n维覆盖[参见05B40, 11H31] |
Packing and covering in n dimensions [See also 05B40, 11H31] |
||
|
52C20 |
2维贴砖[参见05B45, 51M20] |
Tilings in 2 dimensions [See also 05B45, 51M20] |
||
|
52C22 |
n维贴砖[参见05B45, 51M20] |
Tilings in n dimensions [See also 05B45, 51M20] |
||
|
52C23 |
拟晶体、非周期贴砖 |
Quasicrystals, aperiodic tilings |
||
|
52C25 |
结构的刚性及挠性[参见70B15] |
Rigidity and flexibility of structures [See also 70B15] |
||
|
52C26 |
圆填装和离散共形几何 |
Circle packings and discrete conformal geometry |
||
|
52C30 |
线(边)和伪线(伪边)的平面排列 |
Planar arrangements of lines and pseudolines |
||
|
52C35 |
点, 平坦, 超平面的排列[参见32S22] |
Arrangements of points, flats, hyperplanes [See also 32S22] |
||
|
52C40 |
定向拟阵 |
Oriented matroids |
||
|
52C45 |
几何结构的组合复杂性[参见68U05] |
Combinatorial complexity of geometric structures [See also 68U05] |
||
|
52C99 |
其它 |
None of the above, but in this section |
||
|
53-XX |
微分几何(微分拓扑, 见57Rxx; 可微流形的基础问题, 见58Axx) |
Differential geometry (For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx) |
||
|
53-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
53-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
53-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
53-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
53-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
53-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
53Axx |
经典微分几何 |
Classical differential geometry |
||
|
53A04 |
Euclid空间中的曲线 |
Curves in Euclidean space |
||
|
53A05 |
Euclid空间中的曲面 |
Surfaces in Euclidean space |
||
|
53A07 |
Euclid n维空间中的高维及高余维曲面 |
Higher-dimensional and -codimensional surfaces in Euclidean n-space |
||
|
53A10 |
极小曲面、具有指定平均曲率的曲面[参见49Q05, 49Q10, 53C42] |
Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42] |
||
|
53A15 |
仿射微分几何 |
Affine differential geometry |
||
|
53A17 |
运动学 |
Kinematics |
||
|
53A20 |
射影微分几何 |
Projective differential geometry |
||
|
53A25 |
微分线几何 |
Differential line geometry |
||
|
53A30 |
共形微分几何 |
Conformal differential geometry |
||
|
53A35 |
非Euclid微分几何 |
Non-Euclidean differential geometry |
||
|
53A40 |
其它特殊微分几何 |
Other special differential geometries |
||
|
53A45 |
向量与张量分析 |
Vector and tensor analysis |
||
|
53A55 |
微分不变量(局部理论), 几何对象 |
Differential invariants (local theory), geometric objects |
||
|
53A60 |
罗几何[参见14C21, 20N05] |
Geometry of webs [See also 14C21, 20N05] |
||
|
53A99 |
其它 |
None of the above, but in this section |
||
|
53Bxx |
局部微分几何 |
Local differential geometry |
||
|
53B05 |
线性和仿射联络 |
Linear and affine connections |
||
|
53B10 |
射影联络 |
Projective connections |
||
|
53B15 |
其它联络 |
Other connections |
||
|
53B20 |
局部Riemann几何 |
Local Riemannian geometry |
||
|
53B21 |
Riemann几何方法 |
Methods of Riemannian geometry |
||
|
53B25 |
局部子流形[参见53C40] |
Local submanifolds [See also 53C40] |
||
|
53B30 |
Lorentz度量, 不定度量 |
Lorentz metrics, indefinite metrics |
||
|
53B35 |
Hermite和Kähler结构[参见32Cxx] |
Hermitian and Kählerian structures [See also 32Cxx] |
||
|
53B40 |
Finsler空间和推广(面积度量) |
Finsler spaces and generalizations (areal metrics) |
||
|
53B50 |
在物理上的应用 |
Applications to physics |
||
|
53B99 |
其它 |
None of the above, but in this section |
||
|
53Cxx |
整体微分几何[参见51H25, 58-XX](相关丛理论, 见55Rxx, 57Rxx) |
Global differential geometry [See also 51H25, 58-XX] (For related bundle theory, see 55Rxx, 57Rxx) |
||
|
53C05 |
联络, 一般理论 |
Connections, general theory |
||
|
53C07 |
向量丛(Hermite-Einstein-Yang-Mills)上的特殊联络和度量[参见32Q20] |
Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20] |
||
|
53C08 |
Gerbes, 微分特征标: 微分几何方面 |
Gerbes, differential characters: differential geometric aspects |
||
|
53C10 |
G-结构 |
G-structures |
||
|
53C12 |
叶状结构物(微分几何方面)[参见57R30, 57R32] |
Foliations (differential geometric aspects) [See also 57R30, 57R32] |
||
|
53C15 |
流形上的一般几何结构(殆复结构、殆积结构等) |
General geometric structures on manifolds (almost complex, almost product structures, etc.) |
||
|
53C17 |
子Riemann几何 |
Sub-Riemannian geometry |
||
|
53C20 |
整体Riemann几何, 包括扭[参见31C12, 58B20] |
Global Riemannian geometry, including pinching [See also 31C12, 58B20] |
||
|
53C21 |
Riemann几何方法, 包括偏微分方程方法; 曲率限制[参见58J60] |
Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60] |
||
|
53C22 |
测地线[参见58E10] |
Geodesics [See also 58E10] |
||
|
53C23 |
整体几何和拓扑方法(属于Gromov); 度量空间上的微分几何分析 |
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces |
||
|
53C24 |
刚性结果 |
Rigidity results |
||
|
53C25 |
特殊Riemann流形(Einstein、Sasaki等) |
Special Riemannian manifolds (Einstein, Sasakian, etc.) |
||
|
53C26 |
超Kähler和四元数Kähler几何, “特殊”几何 |
Hyper-Kähler and quaternionic Kähler geometry, “special” geometry |
||
|
53C27 |
自旋和自旋c几何 |
Spin and Spinc geometry |
||
|
53C28 |
扭子方法[参见32L25] |
Twistor methods [See also 32L25] |
||
|
53C29 |
完整的问题 |
Issues of holonomy |
||
|
53C30 |
齐次流形[参见14M15, 14M17, 32M10, 57T15] |
Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15] |
||
|
53C35 |
对称空间[参见32M15, 57T15] |
Symmetric spaces [See also 32M15, 57T15] |
||
|
53C38 |
校准和校准几何 |
Calibrations and calibrated geometries |
||
|
53C40 |
整体子流形[参见53B25] |
Global submanifolds [See also 53B25] |
||
|
53C42 |
浸入(极小曲率、规定曲率、紧密的等)[参见49Q05, 49Q10, 53A10, 57R40, 57R42] |
Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42] |
||
|
53C43 |
调和映射的微分几何方面[参见58E20] |
Differential geometric aspects of harmonic maps [See also 58E20] |
||
|
53C44 |
几何发展方程(平均曲率流、Ricci流等) |
Geometric evolution equations (mean curvature flow, Ricci flow, etc.) |
||
|
53C45 |
整体曲面论(凸曲面属于A.D.Aleksandrov) |
Global surface theory (convex surfaces à la A. D. Aleksandrov) |
||
|
53C50 |
Lorentz流形, 不定度量流形 |
Lorentz manifolds, manifolds with indefinite metrics |
||
|
53C55 |
Hermite和Kähler流形[参见32Cxx] |
Hermitian and Kählerian manifolds [See also 32Cxx] |
||
|
53C56 |
其它复微分几何[参见32Cxx] |
Other complex differential geometry [See also 32Cxx] |
||
|
53C60 |
Finsler空间和推广(面积度量)[参见58B20] |
Finsler spaces and generalizations (areal metrics) [See also 58B20] |
||
|
53C65 |
积分几何[参见52A22, 60D05]; 微分形式、流等[主要见58Axx] |
Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] |
||
|
53C70 |
直接法(Busemann G-空间等) |
Direct methods (G-spaces of Busemann, etc.) |
||
|
53C75 |
几何序, 序几何[参见51Lxx] |
Geometric orders, order geometry [See also 51Lxx] |
||
|
53C80 |
应用于物理 |
Applications to physics |
||
|
53C99 |
其它 |
None of the above, but in this section |
||
|
53Dxx |
辛几何, 接触几何[参见37Jxx, 70Gxx, 70Hxx] |
Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx] |
||
|
53D05 |
辛流形, 一般理论 |
Symplectic manifolds, general |
||
|
53D10 |
接触流形, 一般理论 |
Contact manifolds, general |
||
|
53D12 |
Lagrange子流形; Maslov指数 |
Lagrangian submanifolds; Maslov index |
||
|
53D15 |
殆接触和殆辛流形 |
Almost contact and almost symplectic manifolds |
||
|
53D17 |
Poisson流形; Poisson广群和代数体 |
Poisson manifolds; Poisson groupoids and algebroids |
||
|
53D18 |
广义几何(属于Hitchin) |
Generalized geometries (à la Hitchin) |
||
|
53D20 |
动量映射; 辛约化 |
Momentum maps; symplectic reduction |
||
|
53D22 |
典型变换 |
Canonical transformations |
||
|
53D25 |
测地流 |
Geodesic flows |
||
|
53D30 |
模空间的辛结构 |
Symplectic structures of moduli spaces |
||
|
53D35 |
辛的整体理论和接触流形[参见57Rxx] |
Global theory of symplectic and contact manifolds [See also 57Rxx] |
||
|
53D37 |
镜像对称, 辛方面; 同调镜像对称; Fukaya范畴[参见14J33] |
Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category [See also 14J33] |
||
|
53D40 |
Floer(下)同调和上同调, 辛方面 |
Floer homology and cohomology, symplectic aspects |
||
|
53D42 |
辛域论; 接触同调 |
Symplectic field theory; contact homology |
||
|
53D45 |
Gromov-Witten不变量, 量子上同调, Frobenius流形[参见14N35] |
Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35] |
||
|
53D50 |
几何量子化 |
Geometric quantization |
||
|
53D55 |
变形量子化, 星积 |
Deformation quantization, star products |
||
|
53D99 |
其它 |
None of the above, but in this section |
||
|
53Zxx |
应用于物理 |
Applications to physics |
||
|
53Z05 |
应用于物理 |
Applications to physics |
||
|
53Z99 |
其它 |
None of the above, but in this section |
||
|
54-XX |
一般拓扑学(所有维流形的拓扑, 见57Nxx) |
General topology (For the topology of manifolds of all dimensions, see 57Nxx) |
||
|
54-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
54-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
54-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
54-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
54-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
54-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
54Axx |
一般理论 |
Generalities |
||
|
54A05 |
拓扑空间和推广(闭包空间等) |
Topological spaces and generalizations (closure spaces, etc.) |
||
|
54A10 |
单集上的多拓扑(拓扑变化, 拓扑比较, 拓扑格) |
Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) |
||
|
54A15 |
综合拓扑结构 |
Syntopogeneous structures |
||
|
54A20 |
一般拓扑学的收敛性(序列、滤子、极限、收敛空间等) |
Convergence in general topology (sequences, filters, limits, convergence spaces, etc.) |
||
|
54A25 |
基数性质(基数函数和不等式, 离散子集)[参见03Exx](超滤子, 见54D80) |
Cardinality properties (cardinal functions and inequalities, discrete subsets) [See also 03Exx] (For ultrafilters, see 54D80) |
||
|
54A35 |
相容性和独立结果[参见03E35] |
Consistency and independence results [See also 03E35] |
||
|
54A40 |
模糊拓扑[参见03E72] |
Fuzzy topology [See also 03E72] |
||
|
54A99 |
其它 |
None of the above, but in this section |
||
|
54Bxx |
基本构造 |
Basic constructions |
||
|
54B05 |
子空间 |
Subspaces |
||
|
54B10 |
积空间 |
Product spaces |
||
|
54B15 |
商空间, 分解 |
Quotient spaces, decompositions |
||
|
54B17 |
附加空间和相似构造 |
Adjunction spaces and similar constructions |
||
|
54B20 |
超空间 |
Hyperspaces |
||
|
54B30 |
范畴方法[参见18B30] |
Categorical methods [See also 18B30] |
||
|
54B35 |
谱 |
Spectra |
||
|
54B40 |
预层和层[参见18F20] |
Presheaves and sheaves [See also 18F20] |
||
|
54B99 |
其它 |
None of the above, but in this section |
||
|
54Cxx |
映射和由映射定义的一般类型空间 |
Maps and general types of spaces defined by maps |
||
|
54C05 |
连续映射 |
Continuous maps |
||
|
54C08 |
弱连续性和广义连续性 |
Weak and generalized continuity |
||
|
54C10 |
拓扑空间的特殊映射(开、闭、完美等) |
Special maps on topological spaces (open, closed, perfect, etc.) |
||
|
54C15 |
(保核)收缩 |
Retraction |
||
|
54C20 |
映射的扩张 |
Extension of maps |
||
|
54C25 |
嵌入 |
Embedding |
||
|
54C30 |
实值函数[参见26-XX] |
Real-valued functions [See also 26-XX] |
||
|
54C35 |
函数空间[参见46Exx, 58D15] |
Function spaces [See also 46Exx, 58D15] |
||
|
54C40 |
函数空间的代数性质[参见46J10] |
Algebraic properties of function spaces [See also 46J10] |
||
|
54C45 |
C-和C*-嵌入 |
C- and C*-embedding |
||
|
54C50 |
由函数定义的特殊集[参见26A21] |
Special sets defined by functions [See also 26A21] |
||
|
54C55 |
绝对邻域开拓子, 绝对开拓子, 绝对邻域收缩核(ANR), 绝对收缩核空间(一般性质)[参见55M15] |
Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) [See also 55M15] |
||
|
54C56 |
形状理论[参见55P55, 57N25] |
Shape theory [See also 55P55, 57N25] |
||
|
54C60 |
集值映射[参见26E25, 28B20, 47H04, 58C06] |
Set-valued maps [See also 26E25, 28B20, 47H04, 58C06] |
||
|
54C65 |
选择[参见28B20] |
Selections [See also 28B20] |
||
|
54C70 |
熵 |
Entropy |
||
|
54C99 |
其它 |
None of the above, but in this section |
||
|
54Dxx |
一般性质 |
Fairly general properties |
||
|
54D05 |
连通和局部连通空间(一般方面) |
Connected and locally connected spaces (general aspects) |
||
|
54D10 |
下分离公理(T0-T3等) |
Lower separation axioms (T0-T3, etc.) |
||
|
54D15 |
高分离公理(完全正则的、正规的、完备或集体式正规的等) |
Higher separation axioms (completely regular, normal, perfectly or collection-wise normal, etc.) |
||
|
54D20 |
非紧覆盖性质(仿紧性、Lindelöf等) |
Noncompact covering properties (paracompact, Lindelöf, etc.) |
||
|
54D25 |
“P-极小”和“P-闭”空间 |
“P-minimal” and “P-closed” spaces |
||
|
54D30 |
紧性 |
Compactness |
||
|
54D35 |
空间的扩张(紧化、超紧化、完备化等) |
Extensions of spaces (compactifications, supercompactifications, completions, etc.) |
||
|
54D40 |
剩余 |
Remainders |
||
|
54D45 |
局部紧性, σ-紧性 |
Local compactness, σ-compactness |
||
|
54D50 |
K-空间 |
K-spaces |
||
|
54D55 |
序列空间 |
Sequential spaces |
||
|
54D60 |
实紧性和实紧化 |
Realcompactness and realcompactification |
||
|
54D65 |
可分性 |
Separability |
||
|
54D70 |
基性质 |
Base properties |
||
|
54D80 |
空间的特殊构造(超滤子空间等) |
Special constructions of spaces (spaces of ultrafilters, etc.) |
||
|
54D99 |
其它 |
None of the above, but in this section |
||
|
54Exx |
有较丰富结构的空间 |
Spaces with richer structures |
||
|
54E05 |
邻近结构和推广 |
Proximity structures and generalizations |
||
|
54E15 |
一致结构和推广 |
Uniform structures and generalizations |
||
|
54E17 |
近性空间 |
Nearness spaces |
||
|
54E18 |
p-空间、M-空间、σ-空间等 |
p-spaces, M-spaces, σ-spaces, etc. |
||
|
54E20 |
可层化空间、宇宙空间等 |
Stratifiable spaces, cosmic spaces, etc. |
||
|
54E25 |
半度量空间 |
Semimetric spaces |
||
|
54E30 |
Moore空间 |
Moore spaces |
||
|
54E35 |
度量空间, 可度量性 |
Metric spaces, metrizability |
||
|
54E40 |
度量空间上的特殊映射 |
Special maps on metric spaces |
||
|
54E45 |
紧(局部紧)度量空间 |
Compact (locally compact) metric spaces |
||
|
54E50 |
完备度量空间 |
Complete metric spaces |
||
|
54E52 |
Baire范畴, Baire空间 |
Baire category, Baire spaces |
||
|
54E55 |
双拓扑 |
Bitopologies |
||
|
54E70 |
概率度量空间 |
Probabilistic metric spaces |
||
|
54E99 |
其它 |
None of the above, but in this section |
||
|
54Fxx |
特殊性质 |
Special properties |
||
|
54F05 |
线性有序拓扑空间, 广义有序空间, 偏序空间[参见06B30, 06F30] |
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces [See also 06B30, 06F30] |
||
|
54F15 |
延拓和推广 |
Continua and generalizations |
||
|
54F35 |
高维局部连通性[参见55Mxx, 55Nxx] |
Higher-dimensional local connectedness [See also 55Mxx, 55Nxx] |
||
|
54F45 |
维数论[参见55M10] |
Dimension theory [See also 55M10] |
||
|
54F50 |
维数≤1的空间; 曲线, 无圈曲线[参见26A03] |
Spaces of dimension ≤1; curves, dendrites [See also 26A03] |
||
|
54F55 |
单凝聚, 多凝聚 |
Unicoherence, multicoherence |
||
|
54F65 |
特殊空间的拓扑特征 |
Topological characterizations of particular spaces |
||
|
54F99 |
其它 |
None of the above, but in this section |
||
|
54Gxx |
独特空间 |
Peculiar spaces |
||
|
54G05 |
极不连通空间、F-空间等 |
Extremally disconnected spaces, F-spaces, etc. |
||
|
54G10 |
P-空间 |
P-spaces |
||
|
54G12 |
散射空间 |
Scattered spaces |
||
|
54G15 |
病态空间 |
Pathological spaces |
||
|
54G20 |
反例 |
Counterexamples |
||
|
54G99 |
其它 |
None of the above, but in this section |
||
|
54Hxx |
与其它结构的联系, 应用 |
Connections with other structures, applications |
||
|
54H05 |
描述集合论(Borel、解析、投射等集的拓扑方面)[参见03E15, 26A21, 28A05] |
Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) [See also 03E15, 26A21, 28A05] |
||
|
54H10 |
代数系的拓扑表示[参见22-XX] |
Topological representations of algebraic systems [See also 22-XX] |
||
|
54H11 |
拓扑群[参见22A05] |
Topological groups [See also 22A05] |
||
|
54H12 |
拓扑格等[参见06B30, 06F30] |
Topological lattices, etc. [See also 06B30, 06F30] |
||
|
54H13 |
拓扑域、拓扑环等[参见12Jxx](代数方面, 见13Jxx, 16W80) |
Topological fields, rings, etc. [See also 12Jxx] (For algebraic aspects, see 13Jxx, 16W80) |
||
|
54H15 |
变换群和半群[参见20M20, 22-XX, 57Sxx] |
Transformation groups and semigroups [See also 20M20, 22-XX, 57Sxx] |
||
|
54H20 |
拓扑动力学[参见28Dxx, 37Bxx] |
Topological dynamics [See also 28Dxx, 37Bxx] |
||
|
54H25 |
不动点定理和叠合定理[参见47H10, 55M20] |
Fixed-point and coincidence theorems [See also 47H10, 55M20] |
||
|
54H99 |
其它 |
None of the above, but in this section |
||
|
54Jxx |
非标准拓扑[参见03H05] |
Nonstandard topology [See also 03H05] |
||
|
54J05 |
非标准拓扑[参见03H05] |
Nonstandard topology [See also 03H05] |
||
|
54J99 |
其它 |
None of the above, but in this section |
||
|
55-XX |
代数拓扑学 |
Algebraic topology |
||
|
55-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
55-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
55-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
55-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
55-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
55-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
55Mxx |
经典课题(Euclid空间的拓扑学和流形, 见57Nxx) |
Classical topics (For the topology of Euclidean spaces and manifolds, see 57Nxx) |
||
|
55M05 |
对偶性 |
Duality |
||
|
55M10 |
维数论[参见54F45] |
Dimension theory [See also 54F45] |
||
|
55M15 |
绝对邻域收缩核[参见54C55] |
Absolute neighborhood retracts [See also 54C55] |
||
|
55M20 |
不动点和叠合[参见54H25] |
Fixed points and coincidences [See also 54H25] |
||
|
55M25 |
度, 分枝数 |
Degree, winding number |
||
|
55M30 |
空间的Ljusternik-Schnirelman (Lyusternik-Shnirelman)范畴 |
Ljusternik-Schnirelman (Lyusternik-Shnirelman) category of a space |
||
|
55M35 |
有限变换群(包括Smith理论)[参见57S17] |
Finite groups of transformations (including Smith theory) [See also 57S17] |
||
|
55M99 |
其它 |
None of the above, but in this section |
||
|
55Nxx |
同调和上同调理论[参见57Txx] |
Homology and cohomology theories [See also 57Txx] |
||
|
55N05 |
Čech型 |
Čech types |
||
|
55N07 |
Steenrod-Sitnikov同调 |
Steenrod-Sitnikov homologies |
||
|
55N10 |
奇异理论 |
Singular theory |
||
|
55N15 |
K-理论[参见19Lxx](代数K-理论, 见18F25, 19-XX) |
K-theory [See also 19Lxx] (For algebraic K-theory, see 18F25, 19-XX) |
||
|
55N20 |
广义(非常)同调和上同调理论 |
Generalized (extraordinary) homology and cohomology theories |
||
|
55N22 |
加边和配边理论, 形式群定律[参见14L05, 19L41, 57R75, 57R77, 57R85, 57R90] |
Bordism and cobordism theories, formal group laws [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90] |
||
|
55N25 |
有局部系数的同调, 等变化上同调 |
Homology with local coefficients, equivariant cohomology |
||
|
55N30 |
层上同调[参见18F20, 32C35, 32L10] |
Sheaf cohomology [See also 18F20, 32C35, 32L10] |
||
|
55N32 |
轨形上同调 |
Orbifold cohomology |
||
|
55N33 |
相交同调和上同调 |
Intersection homology and cohomology |
||
|
55N34 |
椭圆上同调 |
Elliptic cohomology |
||
|
55N35 |
其它同调理论 |
Other homology theories |
||
|
55N40 |
同调论公理和唯一性定理 |
Axioms for homology theory and uniqueness theorems |
||
|
55N45 |
积和交 |
Products and intersections |
||
|
55N91 |
等变化同调和上同调[参见19L47] |
Equivariant homology and cohomology [See also 19L47] |
||
|
55N99 |
其它 |
None of the above, but in this section |
||
|
55Pxx |
同伦理论(简单同伦型, 见57Q10) |
Homotopy theory (For simple homotopy type, see 57Q10) |
||
|
55P05 |
同伦扩张性质, 上纤维化 |
Homotopy extension properties, cofibrations |
||
|
55P10 |
同伦等价 |
Homotopy equivalences |
||
|
55P15 |
同伦型的分类 |
Classification of homotopy type |
||
|
55P20 |
Eilenberg-Mac Lane空间 |
Eilenberg-Mac Lane spaces |
||
|
55P25 |
Spanier-Whitehead对偶性 |
Spanier-Whitehead duality |
||
|
55P30 |
Eckmann-Hilton对偶性 |
Eckmann-Hilton duality |
||
|
55P35 |
圈空间 |
Loop spaces |
||
|
55P40 |
同纬映射 |
Suspensions |
||
|
55P42 |
稳定同伦理论, 谱 |
Stable homotopy theory, spectra |
||
|
55P43 |
具有附加结构的谱(E∞、A∞、环谱等) |
Spectra with additional structure (E∞, A∞, ring spectra, etc.) |
||
|
55P45 |
H-空间和对偶 |
H-spaces and duals |
||
|
55P47 |
无限圈空间 |
Infinite loop spaces |
||
|
55P48 |
圈空间机器, operads[参见18D50] |
Loop space machines, operads [See also 18D50] |
||
|
55P50 |
String拓扑 |
String topology |
||
|
55P55 |
形状理论[参见54C56, 55Q07] |
Shape theory [See also 54C56, 55Q07] |
||
|
55P57 |
真同伦理论 |
Proper homotopy theory |
||
|
55P60 |
局部化和完备化 |
Localization and completion |
||
|
55P62 |
有理同伦理论 |
Rational homotopy theory |
||
|
55P65 |
同伦函子 |
Homotopy functors |
||
|
55P91 |
等变化同伦理论[参见19L47] |
Equivariant homotopy theory [See also 19L47] |
||
|
55P92 |
等变同伦论与非等变同伦论之间的关系 |
Relations between equivariant and nonequivariant homotopy theory |
||
|
55P99 |
其它 |
None of the above, but in this section |
||
|
55Qxx |
同伦群 |
Homotopy groups |
||
|
55Q05 |
同伦群, 一般理论; 同伦类集合 |
Homotopy groups, general; sets of homotopy classes |
||
|
55Q07 |
形状群 |
Shape groups |
||
|
55Q10 |
稳定同伦群 |
Stable homotopy groups |
||
|
55Q15 |
Whitehead积和推广 |
Whitehead products and generalizations |
||
|
55Q20 |
楔, 联和单空间同伦群 |
Homotopy groups of wedges, joins, and simple spaces |
||
|
55Q25 |
Hopf不变量 |
Hopf invariants |
||
|
55Q35 |
同伦群运算 |
Operations in homotopy groups |
||
|
55Q40 |
球同伦群 |
Homotopy groups of spheres |
||
|
55Q45 |
稳定球同伦 |
Stable homotopy of spheres |
||
|
55Q50 |
J-射[参见19L20] |
J-morphism [See also 19L20] |
||
|
55Q51 |
Vn周期性 |
Vn-periodicity |
||
|
55Q52 |
特殊空间的同伦群 |
Homotopy groups of special spaces |
||
|
55Q55 |
上同伦群 |
Cohomotopy groups |
||
|
55Q70 |
特殊型同伦群[参见55N05, 55N07] |
Homotopy groups of special types [See also 55N05, 55N07] |
||
|
55Q91 |
等变化同伦群[参见19L47] |
Equivariant homotopy groups [See also 19L47] |
||
|
55Q99 |
其它 |
None of the above, but in this section |
||
|
55Rxx |
纤维空间和纤维丛[参见18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25] |
Fiber spaces and bundles [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25] |
||
|
55R05 |
纤维空间 |
Fiber spaces |
||
|
55R10 |
纤维丛 |
Fiber bundles |
||
|
55R12 |
转移 |
Transfer |
||
|
55R15 |
分类 |
Classification |
||
|
55R20 |
纤维空间的谱序列和同调[参见55Txx] |
Spectral sequences and homology of fiber spaces [See also 55Txx] |
||
|
55R25 |
球丛和向量丛 |
Sphere bundles and vector bundles |
||
|
55R35 |
群的分类空间和H-空间 |
Classifying spaces of groups and H-spaces |
||
|
55R37 |
分类空间之间的映射 |
Maps between classifying spaces |
||
|
55R40 |
分类空间的同调, 特征类[参见57Txx, 57R20] |
Homology of classifying spaces, characteristic classes [See also 57Txx, 57R20] |
||
|
55R45 |
BO, BU的同调和同伦; Bott周期性 |
Homology and homotopy of BO, and BU; Bott periodicity |
||
|
55R50 |
向量空间丛的稳定类, K-理论[参见19Lxx](代数K-理论, 见18F25, 19-XX) |
Stable classes of vector space bundles, K-theory [See also 19Lxx] (For algebraic K-theory, see 18F25, 19-XX) |
||
|
55R55 |
具有奇异性的纤维化 |
Fiberings with singularities |
||
|
55R60 |
微丛和块丛[参见57N55, 57Q50] |
Microbundles and block bundles [See also 57N55, 57Q50] |
||
|
55R65 |
纤维空间和纤维丛的推广 |
Generalizations of fiber spaces and bundles |
||
|
55R70 |
纤维式拓扑 |
Fibrewise topology |
||
|
55R80 |
判别式簇, 构形空间 |
Discriminantal varieties, configuration spaces |
||
|
55R91 |
等变化的纤维空间和纤维丛[参见19L47] |
Equivariant fiber spaces and bundles [See also 19L47] |
||
|
55R99 |
其它 |
None of the above, but in this section |
||
|
55Sxx |
运算和障碍 |
Operations and obstructions |
||
|
55S05 |
一阶上同调运算 |
Primary cohomology operations |
||
|
55S10 |
Steenrod代数 |
Steenrod algebra |
||
|
55S12 |
Dyer-Lashof运算 |
Dyer-Lashof operations |
||
|
55S15 |
对称积, 循环积 |
Symmetric products, cyclic products |
||
|
55S20 |
二阶和高阶上同调运算 |
Secondary and higher cohomology operations |
||
|
55S25 |
K-理论运算和广义上同调运算[参见19D55, 19Lxx] |
K-theory operations and generalized cohomology operations [See also 19D55, 19Lxx] |
||
|
55S30 |
Massey积 |
Massey products |
||
|
55S35 |
障碍理论 |
Obstruction theory |
||
|
55S36 |
映射的扩张和压缩 |
Extension and compression of mappings |
||
|
55S37 |
映射的分类 |
Classification of mappings |
||
|
55S40 |
分割纤维空间和纤维丛 |
Sectioning fiber spaces and bundles |
||
|
55S45 |
Postnikov系统, k-不变式 |
Postnikov systems, k-invariants |
||
|
55S91 |
等变化运算和障碍[参见19L47] |
Equivariant operations and obstructions [See also 19L47] |
||
|
55S99 |
其它 |
None of the above, but in this section |
||
|
55Txx |
谱序列[参见18G40, 55R20] |
Spectral sequences [See also 18G40, 55R20] |
||
|
55T05 |
一般理论 |
General |
||
|
55T10 |
Serre谱序列 |
Serre spectral sequences |
||
|
55T15 |
Adams谱序列 |
Adams spectral sequences |
||
|
55T20 |
Eilenberg-Moore谱序列[参见57T35] |
Eilenberg-Moore spectral sequences [See also 57T35] |
||
|
55T25 |
广义上同调 |
Generalized cohomology |
||
|
55T99 |
其它 |
None of the above, but in this section |
||
|
55Uxx |
应用同调代数和范畴论[参见18Gxx] |
Applied homological algebra and category theory [See also 18Gxx] |
||
|
55U05 |
抽象复形 |
Abstract complexes |
||
|
55U10 |
单纯集和复形 |
Simplicial sets and complexes |
||
|
55U15 |
链复形 |
Chain complexes |
||
|
55U20 |
万有系数定理, Bockstein算子 |
Universal coefficient theorems, Bockstein operator |
||
|
55U25 |
积的同调, Künneth公式 |
Homology of a product, Künneth formula |
||
|
55U30 |
对偶性 |
Duality |
||
|
55U35 |
抽象和公理同伦理论 |
Abstract and axiomatic homotopy theory |
||
|
55U40 |
拓扑范畴, 同伦论的基础 |
Topological categories, foundations of homotopy theory |
||
|
55U99 |
其它 |
None of the above, but in this section |
||
|
57-XX |
流形和胞腔复形(复流形, 见32Qxx) |
Manifolds and cell complexes (For complex manifolds, see 32Qxx) |
||
|
57-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
57-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
57-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
57-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
57-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
57-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
57Mxx |
低维拓扑 |
Low-dimensional topology |
||
|
57M05 |
基本群, 表示, 自由微分演算 |
Fundamental group, presentations, free differential calculus |
||
|
57M07 |
群论中的拓扑方法 |
Topological methods in group theory |
||
|
57M10 |
覆盖空间 |
Covering spaces |
||
|
57M12 |
特殊覆盖, 例如: 分枝覆盖 |
Special coverings, e.g. branched |
||
|
57M15 |
与图论的关系[参见05Cxx] |
Relations with graph theory [See also 05Cxx] |
||
|
57M20 |
二维复形 |
Two-dimensional complexes |
||
|
57M25 |
S3中的纽结和连接(高维, 见57Q45) |
Knots and links in S3 (For higher dimensions, see 57Q45) |
||
|
57M27 |
纽结不变量和三维流形 |
Invariants of knots and 3-manifolds |
||
|
57M30 |
病态纽结和曲面等, 病态嵌入 |
Wild knots and surfaces, etc., wild embeddings |
||
|
57M35 |
Dehn引理, 球面定理, 圈定理, 非球面性 |
Dehn’s lemma, sphere theorem, loop theorem, asphericity |
||
|
57M40 |
E3和S3的特征(Poincaré猜想)[参见57N12] |
Characterizations of E3 and S3 (Poincaré conjecture) [See also 57N12] |
||
|
57M50 |
低维流形的几何结构 |
Geometric structures on low-dimensional manifolds |
||
|
57M60 |
低维中的群作用 |
Group actions in low dimensions |
||
|
57M99 |
其它 |
None of the above, but in this section |
||
|
57Nxx |
拓扑流形 |
Topological manifolds |
||
|
57N05 |
E2的拓扑, 2维流形 |
Topology of E2, 2-manifolds |
||
|
57N10 |
一般3维流形的拓扑[参见57Mxx] |
Topology of general 3-manifolds [See also 57Mxx] |
||
|
57N12 |
E3和S3的拓扑[参见57M40] |
Topology of E3 and S3 [See also 57M40] |
||
|
57N13 |
E4的拓扑, 4维流形[参见14Jxx, 32Jxx] |
Topology of E4, 4-manifolds [See also 14Jxx, 32Jxx] |
||
|
57N15 |
En的拓扑, n-维流形(4<n<∞) |
Topology of En, n-manifolds (4<n<∞) |
||
|
57N16 |
流形上的几何结构[参见57M50] |
Geometric structures on manifolds [See also 57M50] |
||
|
57N17 |
拓扑向量空间的拓扑学 |
Topology of topological vector spaces |
||
|
57N20 |
无限维流形的拓扑学[参见58Bxx] |
Topology of infinite-dimensional manifolds [See also 58Bxx] |
||
|
57N25 |
形状[参见54C56, 55P55, 55Q07] |
Shapes [See also 54C56, 55P55, 55Q07] |
||
|
57N30 |
淹没 |
Engulfing |
||
|
57N35 |
嵌入和浸入 |
Embeddings and immersions |
||
|
57N37 |
合痕和伪合痕 |
Isotopy and pseudo-isotopy |
||
|
57N40 |
子流形的邻域 |
Neighborhoods of submanifolds |
||
|
57N45 |
平坦性和驯顺性 |
Flatness and tameness |
||
|
57N50 |
Sn-1⊂En, Schoenflies问题 |
Sn-1⊂En, Schoenflies problem |
||
|
57N55 |
微丛和块丛[参见55R60, 57Q50] |
Microbundles and block bundles [See also 55R60, 57Q50] |
||
|
57N60 |
胞腔性 |
Cellularity |
||
|
57N65 |
流形的代数拓扑 |
Algebraic topology of manifolds |
||
|
57N70 |
配边与和谐性 |
Cobordism and concordance |
||
|
57N75 |
一般位置和横截性 |
General position and transversality |
||
|
57N80 |
层次 |
Stratifications |
||
|
57N99 |
其它 |
None of the above, but in this section |
||
|
57Pxx |
广义流形[参见18F15] |
Generalized manifolds [See also 18F15] |
||
|
57P05 |
广义流形的局部性质 |
Local properties of generalized manifolds |
||
|
57P10 |
Poincaré对偶性空间 |
Poincaré duality spaces |
||
|
57P99 |
其它 |
None of the above, but in this section |
||
|
57Qxx |
PL-拓扑 |
PL-topology |
||
|
57Q05 |
复形的一般拓扑 |
General topology of complexes |
||
|
57Q10 |
单同调型、Whitehead挠率、Reidemeister-Franz挠率等[参见19B28] |
Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28] |
||
|
57Q12 |
CW复形的Wall有限性障碍 |
Wall finiteness obstruction for CW-complexes |
||
|
57Q15 |
三角剖分化流形 |
Triangulating manifolds |
||
|
57Q20 |
配边 |
Cobordism |
||
|
57Q25 |
PL结构的比较: 分类, Hauptvermutung主要猜想 |
Comparison of PL-structures: classification, Hauptvermutung |
||
|
57Q30 |
淹没 |
Engulfing |
||
|
57Q35 |
嵌入和浸入 |
Embeddings and immersions |
||
|
57Q37 |
合痕 |
Isotopy |
||
|
57Q40 |
正则邻域 |
Regular neighborhoods |
||
|
57Q45 |
(高维中)纽结和连接(低维情形, 见57M25) |
Knots and links (in high dimensions) (For the low-dimensional case, see 57M25) |
||
|
57Q50 |
微丛和块丛[参见55R60, 57N55] |
Microbundles and block bundles [See also 55R60, 57N55] |
||
|
57Q55 |
逼近 |
Approximations |
||
|
57Q60 |
配边与和谐性 |
Cobordism and concordance |
||
|
57Q65 |
一般位置和横截性 |
General position and transversality |
||
|
57Q91 |
等变化的PL-拓扑 |
Equivariant PL-topology |
||
|
57Q99 |
其它 |
None of the above, but in this section |
||
|
57Rxx |
微分拓扑(可微流形的基本问题, 见58Axx; 无限维流形, 见58Bxx) |
Differential topology (For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx) |
||
|
57R05 |
三角剖分 |
Triangulating |
||
|
57R10 |
光滑性 |
Smoothing |
||
|
57R12 |
光滑逼近 |
Smooth approximations |
||
|
57R15 |
流形上的特定化结构(旋量流形、标架流形等) |
Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) |
||
|
57R17 |
辛拓扑和接触拓扑 |
Symplectic and contact topology |
||
|
57R18 |
轨形拓扑和几何 |
Topology and geometry of orbifolds |
||
|
57R19 |
流形上的代数拓扑 |
Algebraic topology on manifolds |
||
|
57R20 |
示性类和示性数 |
Characteristic classes and numbers |
||
|
57R22 |
向量丛拓扑和纤维丛拓扑[参见55Rxx] |
Topology of vector bundles and fiber bundles [See also 55Rxx] |
||
|
57R25 |
向量场, 标架场 |
Vector fields, frame fields |
||
|
57R27 |
C∞和实解析流形上的向量场的可控性[参见49Qxx, 37C10, 93B05] |
Controllability of vector fields on C∞ and real-analytic manifolds [See also 49Qxx, 37C10, 93B05] |
||
|
57R30 |
叶状结构物; 几何理论 |
Foliations; geometric theory |
||
|
57R32 |
叶状结构物的分类空间; Gelfand-Fuks上同调[参见58H10] |
Classifying spaces for foliations; Gelfand-Fuks cohomology [See also 58H10] |
||
|
57R35 |
可微映射 |
Differentiable mappings |
||
|
57R40 |
嵌入 |
Embeddings |
||
|
57R42 |
浸入 |
Immersions |
||
|
57R45 |
可微映射的奇异性 |
Singularities of differentiable mappings |
||
|
57R50 |
微分同胚 |
Diffeomorphisms |
||
|
57R52 |
合痕 |
Isotopy |
||
|
57R55 |
可微结构 |
Differentiable structures |
||
|
57R56 |
拓扑量子场论 |
Topological quantum field theories |
||
|
57R57 |
整体分析在流形、Donaldson和Seiberg-Witten不变量结构中的应用[参见58-XX] |
Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also 58-XX] |
||
|
57R58 |
Floer(下)同调 |
Floer homology |
||
|
57R60 |
同伦球面, Poincaré猜想 |
Homotopy spheres, Poincaré conjecture |
||
|
57R65 |
换球术和环柄体 |
Surgery and handlebodies |
||
|
57R67 |
换球术障碍, Wall群[参见19J25] |
Surgery obstructions, Wall groups [See also 19J25] |
||
|
57R70 |
临界点和临界子流形 |
Critical points and critical submanifolds |
||
|
57R75 |
O配边和SO配边 |
O- and SO-cobordism |
||
|
57R77 |
复配边(U-配边和SU-配边)[参见55N22] |
Complex cobordism (U- and SU-cobordism) [See also 55N22] |
||
|
57R80 |
h-配边和s-配边 |
h- and s-cobordism |
||
|
57R85 |
等变化配边 |
Equivariant cobordism |
||
|
57R90 |
其它类型配边[参见55N22] |
Other types of cobordism [See also 55N22] |
||
|
57R91 |
流形的等变代数拓扑 |
Equivariant algebraic topology of manifolds |
||
|
57R95 |
由子流形实现的循环 |
Realizing cycles by submanifolds |
||
|
57R99 |
其它 |
None of the above, but in this section |
||
|
57Sxx |
拓扑变换群[参见20F34, 22-XX, 37-XX, 54H15, 58D05] |
Topological transformation groups [See also 20F34, 22-XX, 37-XX, 54H15, 58D05] |
||
|
57S05 |
同胚或微分同胚群的拓扑性质 |
Topological properties of groups of homeomorphisms or diffeomorphisms |
||
|
57S10 |
同胚的紧群 |
Compact groups of homeomorphisms |
||
|
57S15 |
可微变换的紧Lie群 |
Compact Lie groups of differentiable transformations |
||
|
57S17 |
有限变换群 |
Finite transformation groups |
||
|
57S20 |
变换非紧Lie群 |
Noncompact Lie groups of transformations |
||
|
57S25 |
作用在特殊流形上的群 |
Groups acting on specific manifolds |
||
|
57S30 |
变换的不连续群 |
Discontinuous groups of transformations |
||
|
57S99 |
其它 |
None of the above, but in this section |
||
|
57Txx |
拓扑群及相关结构的同调和同伦 |
Homology and homotopy of topological groups and related structures |
||
|
57T05 |
Hopf代数[参见16T05] |
Hopf algebras [See also 16T05] |
||
|
57T10 |
Lie群的同调和上同调 |
Homology and cohomology of Lie groups |
||
|
57T15 |
Lie群齐次空间的同调和上同调 |
Homology and cohomology of homogeneous spaces of Lie groups |
||
|
57T20 |
拓扑群和齐次空间的同伦群 |
Homotopy groups of topological groups and homogeneous spaces |
||
|
57T25 |
H-空间的同调和上同调 |
Homology and cohomology of H-spaces |
||
|
57T30 |
带和同带构造[参见18G55, 55Uxx] |
Bar and cobar constructions [See also 18G55, 55Uxx] |
||
|
57T35 |
Eilenberg-Moore谱序列的应用[参见55R20, 55T20] |
Applications of Eilenberg-Moore spectral sequences [See also 55R20, 55T20] |
||
|
57T99 |
其它 |
None of the above, but in this section |
||
|
58-XX |
大范围分析, 流形上的分析[参见32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx](几何积分理论, 见49Q15) |
Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] (For geometric integration theory, see 49Q15) |
||
|
58-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
58-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
58-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
58-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
58-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
58-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
58Axx |
可微流形的一般理论[参见32Cxx] |
General theory of differentiable manifolds [See also 32Cxx] |
||
|
58A03 |
Topos理论近似可微流形 |
Topos-theoretic approach to differentiable manifolds |
||
|
58A05 |
可微流形, 基础 |
Differentiable manifolds, foundations |
||
|
58A07 |
实解析流形和Nash流形[参见14P20, 32C07] |
Real-analytic and Nash manifolds [See also 14P20, 32C07] |
||
|
58A10 |
微分形式 |
Differential forms |
||
|
58A12 |
de Rham理论[参见14Fxx] |
de Rham theory [See also 14Fxx] |
||
|
58A14 |
Hodge理论[参见14C30, 14Fxx, 32J25, 32S35] |
Hodge theory [See also 14C30, 14Fxx, 32J25, 32S35] |
||
|
58A15 |
外微分系统(Cartan理论) |
Exterior differential systems (Cartan theory) |
||
|
58A17 |
Pfaff系统 |
Pfaffian systems |
||
|
58A20 |
射流 |
Jets |
||
|
58A25 |
流[参见32C30, 53C65] |
Currents [See also 32C30, 53C65] |
||
|
58A30 |
向量分布(切丛的子丛) |
Vector distributions (subbundles of the tangent bundles) |
||
|
58A32 |
自然丛 |
Natural bundles |
||
|
58A35 |
分层集[参见32S60] |
Stratified sets [See also 32S60] |
||
|
58A40 |
微分空间 |
Differential spaces |
||
|
58A50 |
超流形和分次流形[参见14A22, 32C11] |
Supermanifolds and graded manifolds [See also 14A22, 32C11] |
||
|
58A99 |
其它 |
None of the above, but in this section |
||
|
58Bxx |
无限维流形 |
Infinite-dimensional manifolds |
||
|
58B05 |
同伦和拓扑问题 |
Homotopy and topological questions |
||
|
58B10 |
可微性问题 |
Differentiability questions |
||
|
58B12 |
全纯问题[参见32-XX, 46G20] |
Questions of holomorphy [See also 32-XX, 46G20] |
||
|
58B15 |
Fredholm结构[参见47A53] |
Fredholm structures [See also 47A53] |
||
|
58B20 |
Riemann, Finsler, 和其它几何结构[参见53C20, 53C60] |
Riemannian, Finsler and other geometric structures [See also 53C20, 53C60] |
||
|
58B25 |
无限维流形上的群结构和推广[参见22E65, 58D05] |
Group structures and generalizations on infinite-dimensional manifolds [See also 22E65, 58D05] |
||
|
58B32 |
量子群的几何 |
Geometry of quantum groups |
||
|
58B34 |
非交换几何(属于Connes) |
Noncommutative geometry (à la Connes) |
||
|
58B99 |
其它 |
None of the above, but in this section |
||
|
58Cxx |
流形上的微积分; 非线性算子[参见46Txx, 47Hxx, 47Jxx] |
Calculus on manifolds; nonlinear operators [See also 46Txx, 47Hxx, 47Jxx] |
||
|
58C05 |
实值函数 |
Real-valued functions |
||
|
58C06 |
集值映射和函数空间值映射[参见47H04, 54C60] |
Set valued and function-space valued mappings [See also 47H04, 54C60] |
||
|
58C07 |
映射的连续性性质 |
Continuity properties of mappings |
||
|
58C10 |
全纯映射[参见32-XX] |
Holomorphic maps [See also 32-XX] |
||
|
58C15 |
隐函数定理; 整体Newton法 |
Implicit function theorems; global Newton methods |
||
|
58C20 |
微分法理论(Gateaux、Fréchet等)[参见26Exx, 46G05] |
Differentiation theory (Gateaux, Fréchet, etc.) [See also 26Exx, 46G05] |
||
|
58C25 |
可微映射 |
Differentiable maps |
||
|
58C30 |
流形上的不动点定理[参见47H10] |
Fixed point theorems on manifolds [See also 47H10] |
||
|
58C35 |
流形上的积分法; 流形上的测度[参见28Cxx] |
Integration on manifolds; measures on manifolds [See also 28Cxx] |
||
|
58C40 |
谱理论; 特征值问题[参见47J10, 58E07] |
Spectral theory; eigenvalue problems [See also 47J10, 58E07] |
||
|
58C50 |
超流形或分次流形上的分析 |
Analysis on supermanifolds or graded manifolds |
||
|
58C99 |
其它 |
None of the above, but in this section |
||
|
58Dxx |
映射的空间和流形(包括46Exx的非线性形式)[参见46Txx, 53Cxx] |
Spaces and manifolds of mappings (including nonlinear versions of 46Exx) [See also 46Txx, 53Cxx] |
||
|
58D05 |
微分同胚群和作为流形的自同胚群[参见22E65, 57S05] |
Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05] |
||
|
58D07 |
非线性算子的群和半群[参见17B65, 47H20] |
Groups and semigroups of nonlinear operators [See also 17B65, 47H20] |
||
|
58D10 |
嵌入和浸入的空间 |
Spaces of imbeddings and immersions |
||
|
58D15 |
映射流形[参见46T10, 54C35] |
Manifolds of mappings [See also 46T10, 54C35] |
||
|
58D17 |
度量流形(特别是Riemann) |
Manifolds of metrics (esp. Riemannian) |
||
|
58D19 |
群的作用和对称性质 |
Group actions and symmetry properties |
||
|
58D20 |
映射流形上的测度(Gauss的、圆柱形的等)[参见28Cxx, 46T12] |
Measures (Gaussian, cylindrical, etc.) on manifolds of maps [See also 28Cxx, 46T12] |
||
|
58D25 |
函数空间中的方程; 发展方程[参见34Gxx, 35K90, 35L90, 35R15, 37Lxx, 47Jxx] |
Equations in function spaces; evolution equations [See also 34Gxx, 35K90, 35L90, 35R15, 37Lxx, 47Jxx] |
||
|
58D27 |
微分几何结构的模问题 |
Moduli problems for differential geometric structures |
||
|
58D29 |
拓扑结构的模问题 |
Moduli problems for topological structures |
||
|
58D30 |
应用(在量子力学(Feynman路径积分)、相对性、流体动力学等) |
Applications (in quantum mechanics (Feynman path integrals), relativity, fluid dynamics, etc.) |
||
|
58D99 |
其它 |
None of the above, but in this section |
||
|
58Exx |
无限维空间中的变分问题 |
Variational problems in infinite-dimensional spaces |
||
|
58E05 |
抽象临界点理论(Morse理论、Ljusternik-Schnirelman (Lyusternik-Shnirelman)理论等) |
Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirelman) theory, etc.) |
||
|
58E07 |
抽象分歧理论 |
Abstract bifurcation theory |
||
|
58E09 |
群不变分歧理论 |
Group-invariant bifurcation theory |
||
|
58E10 |
应用于测地线的理论(单独立变量问题) |
Applications to the theory of geodesics (problems in one independent variable) |
||
|
58E11 |
临界度量 |
Critical metrics |
||
|
58E12 |
应用于极小曲面(双独立变量问题)[参见49Q05] |
Applications to minimal surfaces (problems in two independent variables) [See also 49Q05] |
||
|
58E15 |
应用于多变量极值问题; Yang-Mills泛函[参见81T13]等 |
Application to extremal problems in several variables; Yang-Mills functionals [See also 81T13], etc. |
||
|
58E17 |
Pareto最优性等, 经济学中的应用[参见90C29] |
Pareto optimality, etc., applications to economics [See also 90C29] |
||
|
58E20 |
调和映射[参见53C43]等 |
Harmonic maps [See also 53C43], etc. |
||
|
58E25 |
控制论中的应用[参见49-XX, 93-XX] |
Applications to control theory [See also 49-XX, 93-XX] |
||
|
58E30 |
变分原理 |
Variational principles |
||
|
58E35 |
变分不等式(整体问题) |
Variational inequalities (global problems) |
||
|
58E40 |
群的作用 |
Group actions |
||
|
58E50 |
应用 |
Applications |
||
|
58E99 |
其它 |
None of the above, but in this section |
||
|
58Hxx |
流形上的伪群, 可微广群和一般结构 |
Pseudogroups, differentiable groupoids and general structures on manifolds |
|
|
|
58H05 |
伪群和可微广群[参见22A22, 22E65] |
Pseudogroups and differentiable groupoids [See also 22A22, 22E65] |
||
|
58H10 |
伪群结构(Spencer、Gelfand-Fuks等)分类空间的上同调[参见57R32] |
Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) [See also 57R32] |
||
|
58H15 |
结构的形变[参见32Gxx, 58J10] |
Deformations of structures [See also 32Gxx, 58J10] |
||
|
58H99 |
其它 |
None of the above, but in this section |
||
|
58Jxx |
流形上的偏微分方程; 微分算子[参见32Wxx, 35-XX, 53Cxx] |
Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx] |
||
|
58J05 |
流形上的椭圆型方程, 一般理论[参见35-XX] |
Elliptic equations on manifolds, general theory [See also 35-XX] |
||
|
58J10 |
微分复形[参见35Nxx]; 椭圆复形 |
Differential complexes [See also 35Nxx]; elliptic complexes |
||
|
58J15 |
与超函数的关系 |
Relations with hyperfunctions |
||
|
58J20 |
指数理论及相关的不动点定理[参见19K56, 46L80] |
Index theory and related fixed point theorems [See also 19K56, 46L80] |
||
|
58J22 |
异种指数理论[参见19K56, 46L05, 46L10, 46L80, 46M20] |
Exotic index theories [See also 19K56, 46L05, 46L10, 46L80, 46M20] |
||
|
58J26 |
椭圆亏格 |
Elliptic genera |
||
|
58J28 |
Eta-不变量, Chern-Simons不变量 |
Eta-invariants, Chern-Simons invariants |
||
|
58J30 |
谱流 |
Spectral flows |
||
|
58J32 |
流形上的边值问题 |
Boundary value problems on manifolds |
||
|
58J35 |
热和其它抛物型方程方法 |
Heat and other parabolic equation methods |
||
|
58J37 |
摄动; 渐近性 |
Perturbations; asymptotics |
||
|
58J40 |
流形上的伪微分和Fourier积分算子[参见35Sxx] |
Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx] |
||
|
58J42 |
非交换整体分析, 非交换剩余 |
Noncommutative global analysis, noncommutative residues |
||
|
58J45 |
双曲型方程[参见35Lxx] |
Hyperbolic equations [See also 35Lxx] |
||
|
58J47 |
奇异性传播; 初值问题 |
Propagation of singularities; initial value problems |
||
|
58J50 |
谱问题; 谱几何; 散射理论[参见35Pxx] |
Spectral problems; spectral geometry; scattering theory [See also 35Pxx] |
||
|
58J51 |
谱理论和遍历理论之间的关系, 例如: 量子唯一遍历性 |
Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity |
||
|
58J52 |
行列式和行列式丛, 解析挠率 |
Determinants and determinant bundles, analytic torsion |
||
|
58J53 |
等谱性 |
Isospectrality |
||
|
58J55 |
分歧[参见35B32] |
Bifurcation [See also 35B32] |
||
|
58J60 |
与特殊流形结构的关系(Riemann、Finsler等) |
Relations with special manifold structures (Riemannian, Finsler, etc.) |
||
|
58J65 |
流形上的扩散过程和随机分析[参见35R60, 60H10, 60J60] |
Diffusion processes and stochastic analysis on manifolds [See also 35R60, 60H10, 60J60] |
||
|
58J70 |
不变性和对称性质[参见35A30] |
Invariance and symmetry properties [See also 35A30] |
||
|
58J72 |
对应和其它变换方法(例如: Lie-Bäcklund)[参见35A22] |
Correspondences and other transformation methods (e.g. Lie-Bäcklund) [See also 35A22] |
||
|
58J90 |
应用 |
Applications |
||
|
58J99 |
其它 |
None of the above, but in this section |
||
|
58Kxx |
奇异性理论和突变理论[参见32Sxx, 37-XX] |
Theory of singularities and catastrophe theory [See also 32Sxx, 37-XX] |
||
|
58K05 |
函数和映射的临界点 |
Critical points of functions and mappings |
||
|
58K10 |
单值[性] |
Monodromy |
||
|
58K15 |
映射的拓扑性质 |
Topological properties of mappings |
||
|
58K20 |
映射的代数和解析性质 |
Algebraic and analytic properties of mappings |
||
|
58K25 |
稳定性 |
Stability |
||
|
58K30 |
全局理论 |
Global theory |
||
|
58K35 |
突变理论 |
Catastrophe theory |
||
|
58K40 |
分类; 映射芽的有限确定性 |
Classification; finite determinacy of map germs |
||
|
58K45 |
向量场的奇异性, 拓扑方面 |
Singularities of vector fields, topological aspects |
||
|
58K50 |
标准型 |
Normal forms |
||
|
58K55 |
渐近性态 |
Asymptotic behavior |
||
|
58K60 |
奇异性的变形 |
Deformation of singularities |
||
|
58K65 |
拓扑不变量 |
Topological invariants |
||
|
58K70 |
对称性, 同变性 |
Symmetries, equivariance |
||
|
58K99 |
其它 |
None of the above, but in this section |
||
|
58Zxx |
在物理上的应用 |
Applications to physics |
||
|
58Z05 |
在物理上的应用 |
Applications to physics |
||
|
58Z99 |
其它 |
None of the above, but in this section |
||
|
60-XX |
概率论和随机过程(其它应用, 见11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX) |
Probability theory and stochastic processes (For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX) |
||
|
60-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
60-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
60-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
60-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
60-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
60-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
60-08 |
计算方法(在更特殊等级上不分类)[参见65C50] |
Computational methods (not classified at a more specific level) [See also 65C50] |
||
|
60Axx |
概率论基础 |
Foundations of probability theory |
||
|
60A05 |
公理; 其它一般问题 |
Axioms; other general questions |
||
|
60A10 |
概率测度论(遍历理论, 见28Dxx和60Fxx) |
Probabilistic measure theory (For ergodic theory, see 28Dxx and 60Fxx) |
||
|
60A86 |
模糊概率 |
Fuzzy probability |
||
|
60A99 |
其它 |
None of the above, but in this section |
||
|
60Bxx |
代数结构和拓扑结构上的概率论 |
Probability theory on algebraic and topological structures |
||
|
60B05 |
拓扑空间上的概率测度 |
Probability measures on topological spaces |
||
|
60B10 |
概率测度的收敛性 |
Convergence of probability measures |
||
|
60B11 |
线性拓扑空间上的概率理论[参见28C20] |
Probability theory on linear topological spaces [See also 28C20] |
||
|
60B12 |
向量值随机变量的极限定理(无限维情形) |
Limit theorems for vector-valued random variables (infinite-dimensional case) |
||
|
60B15 |
群或半群、Fourier变换、因子分解上的概率测度 |
Probability measures on groups or semigroups, Fourier transforms, factorization |
||
|
60B20 |
随机矩阵(概率方面; 代数方面见15B52) |
Random matrices (probabilistic aspects; for algebraic aspects see 15B52) |
||
|
60B99 |
其它 |
None of the above, but in this section |
||
|
60Cxx |
组合概率 |
Combinatorial probability |
||
|
60C05 |
组合概率 |
Combinatorial probability |
||
|
60C99 |
其它 |
None of the above, but in this section |
||
|
60Dxx |
几何概率和随机几何[参见52A22, 53C65] |
Geometric probability and stochastic geometry [See also 52A22, 53C65] |
||
|
60D05 |
几何概率和随机几何[参见52A22, 53C65] |
Geometric probability and stochastic geometry [See also 52A22, 53C65] |
||
|
60D99 |
其它 |
None of the above, but in this section |
||
|
60Exx |
分布论[参见62Exx, 62Hxx] |
Distribution theory [See also 62Exx, 62Hxx] |
||
|
60E05 |
分布: 一般理论 |
Distributions: general theory |
||
|
60E07 |
无限可分分布; 稳定分布 |
Infinitely divisible distributions; stable distributions |
||
|
60E10 |
特征函数; 其它变换 |
Characteristic functions; other transforms |
||
|
60E15 |
不等式; 随机序 |
Inequalities; stochastic orderings |
||
|
60E99 |
其它 |
None of the above, but in this section |
||
|
60Fxx |
极限定理[参见28Dxx, 60B12] |
Limit theorems [See also 28Dxx, 60B12] |
||
|
60F05 |
中心极限定理和其它弱定理 |
Central limit and other weak theorems |
||
|
60F10 |
大偏差 |
Large deviations |
||
|
60F15 |
强定理 |
Strong theorems |
||
|
60F17 |
泛函极限定理; 不变性原理 |
Functional limit theorems; invariance principles |
||
|
60F20 |
0-1定律 |
Zero-one laws |
||
|
60F25 |
Lp-极限定理 |
Lp-limit theorems |
||
|
60F99 |
其它 |
None of the above, but in this section |
||
|
60Gxx |
随机过程 |
Stochastic processes |
||
|
60G05 |
随机过程的基础 |
Foundations of stochastic processes |
||
|
60G07 |
过程的一般理论 |
General theory of processes |
||
|
60G09 |
可交换性 |
Exchangeability |
||
|
60G10 |
平稳过程 |
Stationary processes |
||
|
60G12 |
一般二阶过程 |
General second-order processes |
||
|
60G15 |
Gauss过程 |
Gaussian processes |
||
|
60G17 |
样本道路性质 |
Sample path properties |
||
|
60G18 |
自相似过程 |
Self-similar processes |
||
|
60G20 |
广义随机过程 |
Generalized stochastic processes |
||
|
60G22 |
分式过程, 包括分式Brown运动 |
Fractional processes, including fractional Brownian motion |
||
|
60G25 |
预报理论[参见62M20] |
Prediction theory [See also 62M20] |
||
|
60G30 |
诱导测度的连续性和奇异性 |
Continuity and singularity of induced measures |
||
|
60G35 |
信号检测和滤波[参见62M20, 93E10, 93E11, 94Axx] |
Signal detection and filtering [See also 62M20, 93E10, 93E11, 94Axx] |
||
|
60G40 |
停止时间; 最优停止问题; 博弈论[参见62L15, 91A60] |
Stopping times; optimal stopping problems; gambling theory [See also 62L15, 91A60] |
||
|
60G42 |
离散参数的鞅 |
Martingales with discrete parameter |
||
|
60G44 |
连续参数的鞅 |
Martingales with continuous parameter |
||
|
60G46 |
鞅和经典分析 |
Martingales and classical analysis |
||
|
60G48 |
鞅的推广 |
Generalizations of martingales |
||
|
60G50 |
独立随机变量的和; 随机游动 |
Sums of independent random variables; random walks |
||
|
60G51 |
独立增量过程; Lévy过程 |
Processes with independent increments; Lévy processes |
||
|
60G52 |
稳定过程 |
Stable processes |
||
|
60G55 |
点过程 |
Point processes |
||
|
60G57 |
随机测度 |
Random measures |
||
|
60G60 |
随机场 |
Random fields |
||
|
60G70 |
极值理论; 极值过程 |
Extreme value theory; extremal processes |
||
|
60G99 |
其它 |
None of the above, but in this section |
||
|
60Hxx |
随机分析[参见58J65] |
Stochastic analysis [See also 58J65] |
||
|
60H05 |
随机积分 |
Stochastic integrals |
||
|
60H07 |
变分随机微积分和Malliavin微积分 |
Stochastic calculus of variations and the Malliavin calculus |
||
|
60H10 |
随机常微分方程[参见34F05] |
Stochastic ordinary differential equations [See also 34F05] |
||
|
60H15 |
随机偏微分方程[参见35R60] |
Stochastic partial differential equations [See also 35R60] |
||
|
60H20 |
随机积分方程 |
Stochastic integral equations |
||
|
60H25 |
随机算子和方程[参见47B80] |
Random operators and equations [See also 47B80] |
||
|
60H30 |
随机分析的应用(偏微分方程等) |
Applications of stochastic analysis (to PDE, etc.) |
||
|
60H35 |
随机方程的计算方法[参见65C30] |
Computational methods for stochastic equations [See also 65C30] |
||
|
60H40 |
白噪声理论 |
White noise theory |
||
|
60H99 |
其它 |
None of the above, but in this section |
||
|
60Jxx |
Markov过程 |
Markov processes |
||
|
60J05 |
一般状态空间上离散时间Markov过程 |
Discrete-time Markov processes on general state spaces |
||
|
60J10 |
Markov链(离散状态空间上离散时间Markov过程) |
Markov chains (discrete-time Markov processes on discrete state spaces) |
||
|
60J20 |
一般状态空间上Markov链和离散时间Markov过程的应用(社会迁移率、学习理论、工业过程等)[参见90B30, 91D10, 91D35, 91E40] |
Applications of Markov chains and discrete-time Markov processes on general state spaces(social mobility, learning theory, industrial processes, etc.) [See also 90B30, 91D10, 91D35, 91E40] |
||
|
60J22 |
Markov链中的计算方法[参见65C40] |
Computational methods in Markov chains [See also 65C40] |
||
|
60J25 |
一般状态空间上连续时间Markov过程 |
Continuous-time Markov processes on general state spaces |
||
|
60J27 |
离散状态空间上连续时间Markov过程 |
Continuous-time Markov processes on discrete state spaces |
||
|
60J28 |
离散状态空间上连续时间Markov过程的应用 |
Applications of continuous-time Markov processes on discrete state spaces |
||
|
60J35 |
转移函数, 生成元和预解式[参见47D03, 47D07] |
Transition functions, generators and resolvents [See also 47D03, 47D07] |
||
|
60J40 |
右过程 |
Right processes |
||
|
60J45 |
概率位势论[参见31Cxx, 31D05] |
Probabilistic potential theory [See also 31Cxx, 31D05] |
||
|
60J50 |
边界理论 |
Boundary theory |
||
|
60J55 |
局部时间和加性泛函 |
Local time and additive functionals |
||
|
60J57 |
乘性泛函 |
Multiplicative functionals |
||
|
60J60 |
扩散过程[参见58J65] |
Diffusion processes [See also 58J65] |
||
|
60J65 |
Brown运动[参见58J65] |
Brownian motion [See also 58J65] |
||
|
60J67 |
随机(Schramm-)Loewner进化(SLE) |
Stochastic (Schramm-)Loewner evolution (SLE) |
||
|
60J68 |
超过程 |
Superprocesses |
||
|
60J70 |
Brown运动和扩散理论的应用(人口遗传学、吸收问题等)[参见92Dxx] |
Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) [See also 92Dxx] |
||
|
60J75 |
跳跃过程 |
Jump processes |
||
|
60J80 |
分枝过程(Galton-Waston过程、生灭过程等) |
Branching processes (Galton-Watson, birth-and-death, etc.) |
||
|
60J85 |
分枝过程的应用[参见92Dxx] |
Applications of branching processes [See also 92Dxx] |
||
|
60J99 |
其它 |
None of the above, but in this section |
||
|
60Kxx |
特殊过程 |
Special processes |
||
|
60K05 |
更新理论 |
Renewal theory |
||
|
60K10 |
应用(可靠性、需求理论等) |
Applications (reliability, demand theory, etc.) |
||
|
60K15 |
Markov更新过程, 半Markov过程 |
Markov renewal processes, semi-Markov processes |
||
|
60K20 |
Markov更新过程的应用(可靠性、排队网络等)[参见90Bxx] |
Applications of Markov renewal processes (reliability, queueing networks, etc.) [See also 90Bxx] |
||
|
60K25 |
排队论[参见68M20, 90B22] |
Queueing theory [See also 68M20, 90B22] |
||
|
60K30 |
应用(密集、配置、存贮、交通等)[参见90Bxx] |
Applications (congestion, allocation, storage, traffic, etc.) [See also 90Bxx] |
||
|
60K35 |
交互作用随机过程; 统计力学型模型; 渗透理论[参见82B43, 82C43] |
Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] |
||
|
60K37 |
随机环境中的过程 |
Processes in random environments |
||
|
60K40 |
随机过程的其它物理应用 |
Other physical applications of random processes |
||
|
60K99 |
其它 |
None of the above, but in this section |
||
|
62-XX |
统计学 |
Statistics |
||
|
62-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
62-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
62-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
62-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
62-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
62-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
62-07 |
数据分析 |
Data analysis |
||
|
62-09 |
图解法 |
Graphical methods |
||
|
62Axx |
基础和哲学论题 |
Foundational and philosophical topics |
||
|
62A01 |
基础和哲学论题 |
Foundational and philosophical topics |
||
|
62A86 |
统计学中的模糊分析 |
Fuzzy analysis in statistics |
||
|
62A99 |
其它 |
None of the above, but in this section |
||
|
62Bxx |
充分性和信息 |
Sufficiency and information |
||
|
62B05 |
充分统计学和域 |
Sufficient statistics and fields |
||
|
62B10 |
信息论课题[参见94A17] |
Information-theoretic topics [See also 94A17] |
||
|
62B15 |
统计实验的理论 |
Theory of statistical experiments |
||
|
62B86 |
模糊性, 充分性和信息 |
Fuzziness, sufficiency, and information |
||
|
62B99 |
其它 |
None of the above, but in this section |
||
|
62Cxx |
决策理论[参见90B50, 91B06](对策论, 见91A35) |
Decision theory [See also 90B50, 91B06] (For game theory, see 91A35) |
||
|
62C05 |
一般考虑 |
General considerations |
||
|
62C07 |
完全类结果 |
Complete class results |
||
|
62C10 |
Bayes问题; Bayes方法的特性 |
Bayesian problems; characterization of Bayes procedures |
||
|
62C12 |
经验决策方法; 经验Bayes方法 |
Empirical decision procedures; empirical Bayes procedures |
||
|
62C15 |
容许性 |
Admissibility |
||
|
62C20 |
极大极小方法 |
Minimax procedures |
||
|
62C25 |
复合决策问题 |
Compound decision problems |
||
|
62C86 |
决策论与模糊性 |
Decision theory and fuzziness |
||
|
62C99 |
其它 |
None of the above, but in this section |
||
|
62Dxx |
抽样理论, 样本调查 |
Sampling theory, sample surveys |
||
|
62D05 |
抽样理论, 样本调查 |
Sampling theory, sample surveys |
||
|
62D99 |
其它 |
None of the above, but in this section |
||
|
62Exx |
分布论[参见60Exx] |
Distribution theory [See also 60Exx] |
||
|
62E10 |
特征和结构理论 |
Characterization and structure theory |
||
|
62E15 |
精确分布论 |
Exact distribution theory |
||
|
62E17 |
分布近似(非渐近) |
Approximations to distributions (nonasymptotic) |
||
|
62E20 |
渐近分布论 |
Asymptotic distribution theory |
||
|
62E86 |
本节中与分布主题相关的模糊性 |
Fuzziness in connection with the topics on distributions in this section |
||
|
62E99 |
其它 |
None of the above, but in this section |
||
|
62Fxx |
参数推断 |
Parametric inference |
||
|
62F03 |
假设检验 |
Hypothesis testing |
||
|
62F05 |
检验的渐近性质 |
Asymptotic properties of tests |
||
|
62F07 |
秩评定和选择 |
Ranking and selection |
||
|
62F10 |
点估计 |
Point estimation |
||
|
62F12 |
估计量的渐近性质 |
Asymptotic properties of estimators |
||
|
62F15 |
Bayes推断 |
Bayesian inference |
||
|
62F25 |
容许区域和置信区域 |
Tolerance and confidence regions |
||
|
62F30 |
约束下的推断 |
Inference under constraints |
||
|
62F35 |
稳健性和自适应过程 |
Robustness and adaptive procedures |
||
|
62F40 |
自助法、刀切法和其它再抽样法 |
Bootstrap, jackknife and other resampling methods |
||
|
62F86 |
参数推断和模糊性 |
Parametric inference and fuzziness |
||
|
62F99 |
其它 |
None of the above, but in this section |
||
|
62Gxx |
非参数推断 |
Nonparametric inference |
||
|
62G05 |
估计 |
Estimation |
||
|
62G07 |
密度估计 |
Density estimation |
||
|
62G08 |
非参数回归 |
Nonparametric regression |
||
|
62G09 |
再抽样法 |
Resampling methods |
||
|
62G10 |
假设检验 |
Hypothesis testing |
||
|
62G15 |
容许区域和置信区域 |
Tolerance and confidence regions |
||
|
62G20 |
渐近性质 |
Asymptotic properties |
||
|
62G30 |
顺序统计学; 经验分布函数 |
Order statistics; empirical distribution functions |
||
|
62G32 |
极值统计学; 尾推论 |
Statistics of extreme values; tail inference |
||
|
62G35 |
稳健性 |
Robustness |
||
|
62G86 |
非参数推断和模糊性 |
Nonparametric inference and fuzziness |
||
|
62G99 |
其它 |
None of the above, but in this section |
||
|
62Hxx |
多元分析[参见60Exx] |
Multivariate analysis [See also 60Exx] |
||
|
62H05 |
特征和结构理论 |
Characterization and structure theory |
||
|
62H10 |
统计分布 |
Distribution of statistics |
||
|
62H11 |
方向数据; 空间统计学 |
Directional data; spatial statistics |
||
|
62H12 |
估计 |
Estimation |
||
|
62H15 |
假设检验 |
Hypothesis testing |
||
|
62H17 |
列联表 |
Contingency tables |
||
|
62H20 |
结合(相关、标准相关等)的测度 |
Measures of association (correlation, canonical correlation, etc.) |
||
|
62H25 |
因子分析和主分量; 对应分析 |
Factor analysis and principal components; correspondence analysis |
||
|
62H30 |
分类和判别; 聚类分析[参见68T10, 91C20] |
Classification and discrimination; cluster analysis [See also 68T10, 91C20] |
||
|
62H35 |
图像分析 |
Image analysis |
||
|
62H86 |
多元分析和模糊性 |
Multivariate analysis and fuzziness |
||
|
62H99 |
其它 |
None of the above, but in this section |
||
|
62Jxx |
线性推断, 回归 |
Linear inference, regression |
||
|
62J02 |
一般非线性回归 |
General nonlinear regression |
||
|
62J05 |
线性回归 |
Linear regression |
||
|
62J07 |
岭回归; 收缩估计量 |
Ridge regression; shrinkage estimators |
||
|
62J10 |
方差和协方差分析 |
Analysis of variance and covariance |
||
|
62J12 |
广义线性模型 |
Generalized linear models |
||
|
62J15 |
成对和多重比较 |
Paired and multiple comparisons |
||
|
62J20 |
诊断学 |
Diagnostics |
||
|
62J86 |
模糊性, 线性推断和回归 |
Fuzziness, and linear inference and regression |
||
|
62J99 |
其它 |
None of the above, but in this section |
||
|
62Kxx |
实验设计[参见05Bxx] |
Design of experiments [See also 05Bxx] |
||
|
62K05 |
最优设计 |
Optimal designs |
||
|
62K10 |
区组设计 |
Block designs |
||
|
62K15 |
析因设计 |
Factorial designs |
||
|
62K20 |
响应曲面设计 |
Response surface designs |
||
|
62K25 |
稳健参数设计 |
Robust parameter designs |
||
|
62K86 |
实验的模糊性和设计 |
Fuzziness and design of experiments |
||
|
62K99 |
其它 |
None of the above, but in this section |
||
|
62Lxx |
序贯法 |
Sequential methods |
||
|
62L05 |
序贯设计 |
Sequential design |
||
|
62L10 |
序贯分析 |
Sequential analysis |
||
|
62L12 |
序贯估计 |
Sequential estimation |
||
|
62L15 |
最优停止[参见60G40, 91A60] |
Optimal stopping [See also 60G40, 91A60] |
||
|
62L20 |
随机逼近 |
Stochastic approximation |
||
|
62L86 |
模糊性和序贯法 |
Fuzziness and sequential methods |
||
|
62L99 |
其它 |
None of the above, but in this section |
||
|
62Mxx |
随机过程推断 |
Inference from stochastic processes |
||
|
62M02 |
Markov过程: 假设检验 |
Markov processes: hypothesis testing |
||
|
62M05 |
Markov过程: 估计 |
Markov processes: estimation |
||
|
62M07 |
非Markov过程: 假设检验 |
Non-Markovian processes: hypothesis testing |
||
|
62M09 |
非Markov过程: 估计 |
Non-Markovian processes: estimation |
||
|
62M10 |
时间序列、自动相关、回归等[参见91B84] |
Time series, auto-correlation, regression, etc. [See also 91B84] |
||
|
62M15 |
谱分析 |
Spectral analysis |
||
|
62M20 |
预报[参见60G25]; 滤波[参见60G35, 93E10, 93E11] |
Prediction [See also 60G25]; filtering [See also 60G35, 93E10, 93E11] |
||
|
62M30 |
空间过程 |
Spatial processes |
||
|
62M40 |
随机场; 图象分析 |
Random fields; image analysis |
||
|
62M45 |
神经网及相关方法 |
Neural nets and related approaches |
||
|
62M86 |
来自随机过程和模糊性的推断 |
Inference from stochastic processes and fuzziness |
||
|
62M99 |
其它 |
None of the above, but in this section |
||
|
62Nxx |
生存分析和截尾数据 |
Survival analysis and censored data |
||
|
62N01 |
截尾数据模型 |
Censored data models |
||
|
62N02 |
估计 |
Estimation |
||
|
62N03 |
检验 |
Testing |
||
|
62N05 |
可靠性和寿命试验[参见90B25] |
Reliability and life testing [See also 90B25] |
||
|
62N86 |
模糊性, 生存分析和截尾数据 |
Fuzziness, and survival analysis and censored data |
||
|
62N99 |
其它 |
None of the above, but in this section |
||
|
62Pxx |
应用[参见90-XX, 91-XX, 92-XX] |
Applications [See also 90-XX, 91-XX, 92-XX] |
||
|
62P05 |
在精算学和金融数学的应用 |
Applications to actuarial sciences and financial mathematics |
||
|
62P10 |
在生物学和医学科学的应用 |
Applications to biology and medical sciences |
||
|
62P12 |
应用于环境及相关课题 |
Applications to environmental and related topics |
||
|
62P15 |
在心理学方面的应用 |
Applications to psychology |
||
|
62P20 |
在经济学方面的应用[参见91Bxx] |
Applications to economics [See also 91Bxx] |
||
|
62P25 |
在社会科学方面的应用 |
Applications to social sciences |
||
|
62P30 |
应用于工程和工业 |
Applications in engineering and industry |
||
|
62P35 |
应用于物理 |
Applications to physics |
||
|
62P99 |
其它 |
None of the above, but in this section |
||
|
62Qxx |
统计表 |
Statistical tables |
||
|
62Q05 |
统计表 |
Statistical tables |
||
|
62Q99 |
其它 |
None of the above, but in this section |
||
|
65-XX |
数值分析 |
Numerical analysis |
||
|
65-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
65-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
65-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
65-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
65-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
65-05 |
实验论文 |
Experimental papers |
||
|
65-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
65Axx |
表 |
Tables |
||
|
65A05 |
表 |
Tables |
||
|
65A99 |
其它 |
None of the above, but in this section |
||
|
65Bxx |
收敛性的加速 |
Acceleration of convergence |
||
|
65B05 |
极限外推, 延迟校正 |
Extrapolation to the limit, deferred corrections |
||
|
65B10 |
级数求和 |
Summation of series |
||
|
65B15 |
Euler-Maclaurin公式 |
Euler-Maclaurin formula |
||
|
65B99 |
其它 |
None of the above, but in this section |
||
|
65Cxx |
概率方法, 模拟和随机微分方程(理论方面, 见68U20和60H35) |
Probabilistic methods, simulation and stochastic differential equations (For theoretical aspects, see 68U20 and 60H35) |
||
|
65C05 |
Monte Carlo方法 |
Monte Carlo methods |
||
|
65C10 |
随机数生成 |
Random number generation |
||
|
65C20 |
模型, 数值方法[参见68U20] |
Models, numerical methods [See also 68U20] |
||
|
65C30 |
随机微分和积分方程 |
Stochastic differential and integral equations |
||
|
65C35 |
随机粒子法[参见82C80] |
Stochastic particle methods [See also 82C80] |
||
|
65C40 |
计算Markov链 |
Computational Markov chains |
||
|
65C50 |
概率中的其它计算问题 |
Other computational problems in probability |
||
|
65C60 |
统计学中的计算问题 |
Computational problems in statistics |
||
|
65C99 |
其它 |
None of the above, but in this section |
||
|
65Dxx |
数值逼近和计算几何(基本算法)(理论, 见41-XX和68Uxx) |
Numerical approximation and computational geometry (Primarily algorithms) (for theory, see 41-XX and 68Uxx) |
||
|
65D05 |
插值 |
Interpolation |
||
|
65D07 |
样条 |
Splines |
||
|
65D10 |
光滑, 曲线拟合 |
Smoothing, curve fitting |
||
|
65D15 |
函数逼近算法 |
Algorithms for functional approximation |
||
|
65D17 |
计算机辅助设计(曲线和曲面的模型建立)[参见68U07] |
Computer aided design (modeling of curves and surfaces) [See also 68U07] |
||
|
65D18 |
计算机图形学, 图象分析和计算几何[参见51N05, 68U05] |
Computer graphics, image analysis, and computational geometry [See also 51N05, 68U05] |
||
|
65D19 |
计算机中计算问题和机器人视觉 |
Computational issues in computer and robotic vision |
||
|
65D20 |
特殊函数的计算, 表的构造[参见33F05] |
Computation of special functions, construction of tables [See also 33F05] |
||
|
65D25 |
数值微分法 |
Numerical differentiation |
||
|
65D30 |
数值积分法 |
Numerical integration |
||
|
65D32 |
求面积和体积公式 |
Quadrature and cubature formulas |
||
|
65D99 |
其它 |
None of the above, but in this section |
||
|
65Exx |
复分析中的数值方法(位势论等)[共形映射的数值方法, 参见30C30] |
Numerical methods in complex analysis (potential theory, etc.) [For numerical methods in conformal mapping, see also 30C30] |
||
|
65E05 |
复分析中的数值方法(位势论等)[共形映射的数值方法, 参见30C30] |
Numerical methods in complex analysis (potential theory, etc.) [For numerical methods in conformal mapping, see also 30C30] |
||
|
65E99 |
其它 |
None of the above, but in this section |
||
|
65Fxx |
数值线性代数 |
Numerical linear algebra |
||
|
65F05 |
线性系统和矩阵反演的直接法 |
Direct methods for linear systems and matrix inversion |
||
|
65F08 |
迭代法的预条件子 |
Preconditioners for iterative methods |
||
|
65F10 |
线性系统的迭代法[参见65N22] |
Iterative methods for linear systems [See also 65N22] |
||
|
65F15 |
特征值, 特征向量 |
Eigenvalues, eigenvectors |
||
|
65F18 |
逆特征值问题 |
Inverse eigenvalue problems |
||
|
65F20 |
超定组, 伪逆 |
Overdetermined systems, pseudoinverses |
||
|
65F22 |
不适定性, 正则化 |
Ill-posedness, regularization |
||
|
65F25 |
正交化 |
Orthogonalization |
||
|
65F30 |
其它矩阵算法 |
Other matrix algorithms |
||
|
65F35 |
矩阵范数, 条件作用, 比例[参见15A12, 15A60] |
Matrix norms, conditioning, scaling [See also 15A12, 15A60] |
||
|
65F40 |
行列式 |
Determinants |
||
|
65F50 |
稀疏矩阵 |
Sparse matrices |
||
|
65F60 |
矩阵指数和相似矩阵函数 |
Matrix exponential and similar matrix functions |
||
|
65F99 |
其它 |
None of the above, but in this section |
||
|
65Gxx |
误差分析和区间分析 |
Error analysis and interval analysis |
||
|
65G20 |
自动结果验证算法 |
Algorithms with automatic result verification |
||
|
65G30 |
区间和有限算术 |
Interval and finite arithmetic |
||
|
65G40 |
区间分析中的一般方法 |
General methods in interval analysis |
||
|
65G50 |
舍入误差 |
Roundoff error |
||
|
65G99 |
其它 |
None of the above, but in this section |
||
|
65Hxx |
非线性代数方程或超越方程 |
Nonlinear algebraic or transcendental equations |
||
|
65H04 |
多项式方程的根 |
Roots of polynomial equations |
||
|
65H05 |
单一方程 |
Single equations |
||
|
65H10 |
方程组 |
Systems of equations |
||
|
65H17 |
特征值, 特征向量[参见47Hxx, 47Jxx, 58C40, 58E07, 90C30] |
Eigenvalues, eigenvectors [See also 47Hxx, 47Jxx, 58C40, 58E07, 90C30] |
||
|
65H20 |
整体方法, 包括同伦法[参见58C30, 90C30] |
Global methods, including homotopy approaches [See also 58C30, 90C30] |
||
|
65H99 |
其它 |
None of the above, but in this section |
||
|
65Jxx |
抽象空间中的数值分析 |
Numerical analysis in abstract spaces |
||
|
65J05 |
一般理论 |
General theory |
||
|
65J08 |
抽象发展方程 |
Abstract evolution equations |
||
|
65J10 |
线性算子方程(不用65Fxx) |
Equations with linear operators (do not use 65Fxx) |
||
|
65J15 |
非线性算子方程(不用65Hxx) |
Equations with nonlinear operators (do not use 65Hxx) |
||
|
65J20 |
不适定的问题; 正则化 |
Improperly posed problems; regularization |
||
|
65J22 |
逆问题 |
Inverse problems |
||
|
65J99 |
其它 |
None of the above, but in this section |
||
|
65Kxx |
数学规划, 最优化和变分法 |
Mathematical programming, optimization and variational techniques |
||
|
65K05 |
数学规划法[参见90Cxx] |
Mathematical programming methods [See also 90Cxx] |
||
|
65K10 |
最优化和变分法[参见49Mxx, 93B40] |
Optimization and variational techniques [See also 49Mxx, 93B40] |
||
|
65K15 |
变分不等式及相关问题的数值方法 |
Numerical methods for variational inequalities and related problems |
||
|
65K99 |
其它 |
None of the above, but in this section |
||
|
65Lxx |
常微分方程 |
Ordinary differential equations |
||
|
65L03 |
泛函微分方程 |
Functional-differential equations |
||
|
65L04 |
刚性方程 |
Stiff equations |
||
|
65L05 |
初值问题 |
Initial value problems |
||
|
65L06 |
多步法, Runge-Kutta法和外推法 |
Multistep, Runge-Kutta and extrapolation methods |
||
|
65L07 |
解稳定性的数值研究 |
Numerical investigation of stability of solutions |
||
|
65L08 |
不适定问题 |
Improperly posed problems |
||
|
65L09 |
逆问题 |
Inverse problems |
||
|
65L10 |
边值问题 |
Boundary value problems |
||
|
65L11 |
奇异摄动问题 |
Singularly perturbed problems |
||
|
65L12 |
有限差分法 |
Finite difference methods |
||
|
65L15 |
特征值问题 |
Eigenvalue problems |
||
|
65L20 |
数值方法的稳定性和收敛性 |
Stability and convergence of numerical methods |
||
|
65L50 |
网格生成和加细 |
Mesh generation and refinement |
||
|
65L60 |
有限元法, Rayleigh-Ritz法, Galerkin法和配置法 |
Finite elements, Rayleigh-Ritz, Galerkin and collocation methods |
||
|
65L70 |
误差界 |
Error bounds |
||
|
65L80 |
微分-代数方程的方法 |
Methods for differential-algebraic equations |
||
|
65L99 |
其它 |
None of the above, but in this section |
||
|
65Mxx |
偏微分方程, 初值和不定常的初-边值问题 |
Partial differential equations, initial value and time-dependent initial-boundary value problems |
||
|
65M06 |
有限差分法 |
Finite difference methods |
||
|
65M08 |
有限体积法 |
Finite volume methods |
||
|
65M12 |
数值方法的稳定性和收敛性 |
Stability and convergence of numerical methods |
||
|
65M15 |
误差界 |
Error bounds |
||
|
65M20 |
线方法 |
Method of lines |
||
|
65M22 |
离散方程的解[参见65Fxx, 65Hxx] |
Solution of discretized equations [See also 65Fxx, 65Hxx] |
||
|
65M25 |
特征法 |
Method of characteristics |
||
|
65M30 |
不适定问题 |
Improperly posed problems |
||
|
65M32 |
逆问题 |
Inverse problems |
||
|
65M38 |
边界元法 |
Boundary element methods |
||
|
65M50 |
网格生成和加细 |
Mesh generation and refinement |
||
|
65M55 |
多重网格法; 区域分解 |
Multigrid methods; domain decomposition |
||
|
65M60 |
有限元法, Rayleigh-Ritz法和Galerkin法, 有限法 |
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods |
||
|
65M70 |
谱方法, 配置和相关方法 |
Spectral, collocation and related methods |
||
|
65M75 |
概率方法、粒子法等 |
Probabilistic methods, particle methods, etc. |
||
|
65M80 |
基本解、Green函数法等 |
Fundamental solutions, Green’s function methods, etc. |
||
|
65M85 |
虚构区域法 |
Fictitious domain methods |
||
|
65M99 |
其它 |
None of the above, but in this section |
||
|
65Nxx |
偏微分方程, 边值问题 |
Partial differential equations, boundary value problems |
||
|
65N06 |
有限差分法 |
Finite difference methods |
||
|
65N08 |
有限体积法 |
Finite volume methods |
||
|
65N12 |
数值方法的稳定性和收敛性 |
Stability and convergence of numerical methods |
||
|
65N15 |
误差界 |
Error bounds |
||
|
65N20 |
不适定问题 |
Ill-posed problems |
||
|
65N21 |
逆问题 |
Inverse problems |
||
|
65N22 |
离散方程的解[参见65Fxx, 65Hxx] |
Solution of discretized equations [See also 65Fxx, 65Hxx] |
||
|
65N25 |
特征值问题 |
Eigenvalue problems |
||
|
65N30 |
有限元法, Rayleigh-Ritz法和Galerkin法, 有限法 |
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods |
||
|
65N35 |
谱方法, 配置和相关方法 |
Spectral, collocation and related methods |
||
|
65N38 |
边界元法 |
Boundary element methods |
||
|
65N40 |
线方法 |
Method of lines |
||
|
65N45 |
边界收缩法 |
Method of contraction of the boundary |
||
|
65N50 |
网格生成和加细 |
Mesh generation and refinement |
||
|
65N55 |
多重网格法; 区域分解 |
Multigrid methods; domain decomposition |
||
|
65N75 |
概率方法、粒子法等 |
Probabilistic methods, particle methods, etc. |
||
|
65N80 |
基本解、Green函数法等 |
Fundamental solutions, Green’s function methods, etc. |
||
|
65N85 |
虚构区域法 |
Fictitious domain methods |
||
|
65N99 |
其它 |
None of the above, but in this section |
||
|
65Pxx |
动力系统中的数值问题[参见37Mxx] |
Numerical problems in dynamical systems [See also 37Mxx] |
||
|
65P10 |
包括辛积分器的Hamilton系统 |
Hamiltonian systems including symplectic integrators |
||
|
65P20 |
数值混沌 |
Numerical chaos |
||
|
65P30 |
分歧问题 |
Bifurcation problems |
||
|
65P40 |
非线性稳定性 |
Nonlinear stabilities |
||
|
65P99 |
其它 |
None of the above, but in this section |
||
|
65Qxx |
差分和泛函方程, 递推关系 |
Difference and functional equations, recurrence relations |
||
|
65Q10 |
差分方程 |
Difference equations |
||
|
65Q20 |
泛函方程 |
Functional equations |
||
|
65Q30 |
递推关系 |
Recurrence relations |
||
|
65Q99 |
其它 |
None of the above, but in this section |
||
|
65Rxx |
积分方程, 积分变换 |
Integral equations, integral transforms |
||
|
65R10 |
积分变换 |
Integral transforms |
||
|
65R20 |
积分方程 |
Integral equations |
||
|
65R30 |
不适定问题 |
Improperly posed problems |
||
|
65R32 |
逆问题 |
Inverse problems |
||
|
65R99 |
其它 |
None of the above, but in this section |
||
|
65Sxx |
图解法 |
Graphical methods |
||
|
65S05 |
图解法 |
Graphical methods |
||
|
65S99 |
其它 |
None of the above, but in this section |
||
|
65Txx |
Fourier分析中的数值方法 |
Numerical methods in Fourier analysis |
||
|
65T40 |
三角逼近和插值 |
Trigonometric approximation and interpolation |
||
|
65T50 |
离散和快速Fourier变换 |
Discrete and fast Fourier transforms |
||
|
65T60 |
小波 |
Wavelets |
||
|
65T99 |
其它 |
None of the above, but in this section |
||
|
65Yxx |
数值算法的计算机方面 |
Computer aspects of numerical algorithms |
||
|
65Y04 |
计算机运算的算法等[参见68M07] |
Algorithms for computer arithmetic, etc. [See also 68M07] |
||
|
65Y05 |
并行计算 |
Parallel computation |
||
|
65Y10 |
具体结构类算法 |
Algorithms for specific classes of architectures |
||
|
65Y15 |
软件包方法 |
Packaged methods |
||
|
65Y20 |
数值算法的复杂性和性能[参见68Q25] |
Complexity and performance of numerical algorithms [See also 68Q25] |
||
|
65Y99 |
其它 |
None of the above, but in this section |
||
|
65Zxx |
应用于物理 |
Applications to physics |
||
|
65Z05 |
应用于物理 |
Applications to physics |
||
|
65Z99 |
其它 |
None of the above, but in this section |
||
|
68-XX |
计算机科学(特殊数学领域中涉及机器计算和程序的论文, 见有关领域-04部分) |
Computer science (For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area) |
||
|
68-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
68-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
68-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
68-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
68-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
68-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
68Mxx |
计算机系统结构 |
Computer system organization |
||
|
68M01 |
一般理论 |
General |
||
|
68M07 |
计算机体系结构的数学问题 |
Mathematical problems of computer architecture |
||
|
68M10 |
网络设计和通信[参见68R10, 90B18] |
Network design and communication [See also 68R10, 90B18] |
||
|
68M11 |
与互联网相关的议题[参见68U35] |
Internet topics [See also 68U35] |
||
|
68M12 |
网络协议 |
Network protocols |
||
|
68M14 |
分布系统 |
Distributed systems |
||
|
68M15 |
可靠性, 检测和容错[参见94C12] |
Reliability, testing and fault tolerance [See also 94C12] |
||
|
68M20 |
性能评估; 排队; 调度[参见60K25, 90Bxx] |
Performance evaluation; queueing; scheduling [See also 60K25, 90Bxx] |
||
|
68M99 |
其它 |
None of the above, but in this section |
||
|
68Nxx |
软件 |
Software |
||
|
68N01 |
一般理论 |
General |
||
|
68N15 |
程序设计语言 |
Programming languages |
||
|
68N17 |
逻辑程序设计 |
Logic programming |
||
|
68N18 |
功能程序设计和λ演算[参见03B40] |
Functional programming and lambda calculus [See also 03B40] |
||
|
68N19 |
其它程序设计技术(面向对象、顺序的、并行的、自动的等) |
Other programming techniques (object-oriented, sequential, concurrent, automatic, etc.) |
||
|
68N20 |
编译程序和解释程序 |
Compilers and interpreters |
||
|
68N25 |
操作系统 |
Operating systems |
||
|
68N30 |
软件工程的数学方面(规格、检验、度量、需求等) |
Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.) |
||
|
68N99 |
其它 |
None of the above, but in this section |
||
|
68Pxx |
数据理论 |
Theory of data |
||
|
68P01 |
一般理论 |
General |
||
|
68P05 |
数据结构 |
Data structures |
||
|
68P10 |
搜索和分类 |
Searching and sorting |
||
|
68P15 |
数据库理论 |
Database theory |
||
|
68P20 |
信息存储和检索 |
Information storage and retrieval |
||
|
68P25 |
数据加密[参见94A60, 81P94] |
Data encryption [See also 94A60, 81P94] |
||
|
68P30 |
编码和信息理论(通信压缩、通信紧致、通信模型、编码方案等)[参见94Axx] |
Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) [See also 94Axx] |
||
|
68P99 |
其它 |
None of the above, but in this section |
||
|
68Qxx |
计算理论 |
Theory of computing |
||
|
68Q01 |
一般理论 |
General |
||
|
68Q05 |
计算模型(Turing机等)[参见03D10, 68Q12, 81P68] |
Models of computation (Turing machines, etc.) [See also 03D10, 68Q12, 81P68] |
||
|
68Q10 |
计算模式(非确定性、并行的、交互的、概率的等)[参见68Q85] |
Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) [See also 68Q85] |
||
|
68Q12 |
量子算法与复杂性[参见68Q05, 81P68] |
Quantum algorithms and complexity [See also 68Q05, 81P68] |
||
|
68Q15 |
复杂性类别(分层、复杂性类别中的关系等)[参见03D15, 68Q17, 68Q19] |
Complexity classes (hierarchies, relations among complexity classes, etc.) [See also 03D15, 68Q17, 68Q19] |
||
|
68Q17 |
计算问题的难度(下界、完全性、逼近的难度等)[参见68Q15] |
Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) [See also 68Q15] |
||
|
68Q19 |
描述复杂性和有限模型[参见03C13] |
Descriptive complexity and finite models [See also 03C13] |
||
|
68Q25 |
算法分析和问题复杂性[参见68W40] |
Analysis of algorithms and problem complexity [See also 68W40] |
||
|
68Q30 |
算法信息理论(Kolmogorov复杂性等)[参见03D32] |
Algorithmic information theory (Kolmogorov complexity, etc.) [See also 03D32] |
||
|
68Q32 |
计算学习理论[参见68T05] |
Computational learning theory [See also 68T05] |
||
|
68Q42 |
文法和重写系统 |
Grammars and rewriting systems |
||
|
68Q45 |
形式语言和自动机[参见03D05, 68Q70, 94A45] |
Formal languages and automata [See also 03D05, 68Q70, 94A45] |
||
|
68Q55 |
语义学[参见03B70, 06B35, 18C50] |
Semantics [See also 03B70, 06B35, 18C50] |
||
|
68Q60 |
说明和检验(程序逻辑、模型校验等)[参见03B70] |
Specification and verification (program logics, model checking, etc.) [See also 03B70] |
||
|
68Q65 |
抽象数据类型; 代数说明[参见18C50] |
Abstract data types; algebraic specification [See also 18C50] |
||
|
68Q70 |
语言和自动机的代数理论[参见18B20, 20M35] |
Algebraic theory of languages and automata [See also 18B20, 20M35] |
||
|
68Q80 |
细胞自动机[参见37B15] |
Cellular automata [See also 37B15] |
||
|
68Q85 |
并行和分布计算的模型和方法(进程代数、双模拟、转移网等) |
Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) |
||
|
68Q87 |
计算机科学中的概率(算法分析、随机结构、相变等)[参见68W20, 68W40] |
Probability in computer science (algorithm analysis, random structures, phase transitions, etc.) [See also 68W20, 68W40] |
||
|
68Q99 |
其它 |
None of the above, but in this section |
||
|
68Rxx |
同计算机科学有关的离散数学 |
Discrete mathematics in relation to computer science |
||
|
68R01 |
一般理论 |
General |
||
|
68R05 |
组合学 |
Combinatorics |
||
|
68R10 |
图论(包括制图)[参见05Cxx, 90B10, 90B35, 90C35] |
Graph theory (including graph drawing) [See also 05Cxx, 90B10, 90B35, 90C35] |
||
|
68R15 |
字的组合学 |
Combinatorics on words |
||
|
68R99 |
其它 |
None of the above, but in this section |
||
|
68Txx |
人工智能 |
Artificial intelligence |
||
|
68T01 |
一般理论 |
General |
||
|
68T05 |
学习和自适应系统[参见68Q32, 91E40] |
Learning and adaptive systems [See also 68Q32, 91E40] |
||
|
68T10 |
模式识别, 语音识别(聚类分析, 见62H30) |
Pattern recognition, speech recognition (For cluster analysis, see 62H30) |
||
|
68T15 |
定理证明(推论、归结等)[参见03B35] |
Theorem proving (deduction, resolution, etc.) [See also 03B35] |
||
|
68T20 |
问题求解(启发式的、搜索策略等) |
Problem solving (heuristics, search strategies, etc.) |
||
|
68T27 |
人工智能中的逻辑 |
Logic in artificial intelligence |
||
|
68T30 |
知识表示 |
Knowledge representation |
||
|
68T35 |
语言和软件系统(基于知识系统、专家系统等) |
Languages and software systems (knowledge-based systems, expert systems, etc.) |
||
|
68T37 |
不确定性推理 |
Reasoning under uncertainty |
||
|
68T40 |
机器人[参见93C85] |
Robotics [See also 93C85] |
||
|
68T42 |
代理技术 |
Agent technology |
||
|
68T45 |
机器视觉和图像理解 |
Machine vision and scene understanding |
||
|
68T50 |
自然语言处理[参见03B65] |
Natural language processing [See also 03B65] |
||
|
68T99 |
其它 |
None of the above, but in this section |
||
|
68Uxx |
计算方法论和应用 |
Computing methodologies and applications |
||
|
68U01 |
一般理论 |
General |
||
|
68U05 |
计算机制图; 计算几何[参见65D18] |
Computer graphics; computational geometry [See also 65D18] |
||
|
68U07 |
计算机辅助设计[参见65D17] |
Computer-aided design [See also 65D17] |
||
|
68U10 |
图象处理 |
Image processing |
||
|
68U15 |
文本处理; 数学排印 |
Text processing; mathematical typography |
||
|
68U20 |
模拟[参见65Cxx] |
Simulation [See also 65Cxx] |
||
|
68U35 |
信息系统(超文本导航、接口、决策支持等)[参见68M11] |
Information systems (hypertext navigation, interfaces, decision support, etc.) [See also 68M11] |
||
|
68U99 |
其它 |
None of the above, but in this section |
||
|
68Wxx |
算法(数值算法, 见65-XX; 组合论和图论, 见05C85, 68Rxx) |
Algorithms (For numerical algorithms, see 65-XX; for combinatorics and graph theory, see 05C85, 68Rxx) |
||
|
68W01 |
一般理论 |
General |
||
|
68W05 |
非数值算法 |
Nonnumerical algorithms |
||
|
68W10 |
并行算法 |
Parallel algorithms |
||
|
68W15 |
分布算法 |
Distributed algorithms |
||
|
68W20 |
随机化算法 |
Randomized algorithms |
||
|
68W25 |
近似算法 |
Approximation algorithms |
||
|
68W27 |
在线算法 |
Online algorithms |
||
|
68W30 |
符号计算和代数计算[参见11Yxx, 12Y05, 13Pxx, 14Qxx, 16Z05, 17-08, 33F10] |
Symbolic computation and algebraic computation [See also 11Yxx, 12Y05, 13Pxx, 14Qxx, 16Z05, 17-08, 33F10] |
||
|
68W32 |
串算法 |
Algorithms on strings |
||
|
68W35 |
超大规模集成电路算法 |
VLSI algorithms |
||
|
68W40 |
算法分析[参见68Q25] |
Analysis of algorithms [See also 68Q25] |
||
|
68W99 |
其它 |
None of the above, but in this section |
||
|
70-XX |
质点和系统力学(相对论力学, 见83A05, 83C10; 统计力学, 见82-XX) |
Mechanics of particles and systems (For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX) |
||
|
70-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
70-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
70-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
70-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
70-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
70-05 |
实验工作 |
Experimental work |
||
|
70-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
70-08 |
计算方法 |
Computational methods |
||
|
70Axx |
公理系统, 基础 |
Axiomatics, foundations |
||
|
70A05 |
公理系统, 基础 |
Axiomatics, foundations |
||
|
70A99 |
其它 |
None of the above, but in this section |
||
|
70Bxx |
运动学[参见53A17] |
Kinematics [See also 53A17] |
||
|
70B05 |
质点运动学 |
Kinematics of a particle |
||
|
70B10 |
刚体运动学 |
Kinematics of a rigid body |
||
|
70B15 |
力学, 机器人[参见68T40, 70Q05, 93C85] |
Mechanisms, robots [See also 68T40, 70Q05, 93C85] |
||
|
70B99 |
其它 |
None of the above, but in this section |
||
|
70Cxx |
静力学 |
Statics |
||
|
70C20 |
静力学 |
Statics |
||
|
70C99 |
其它 |
None of the above, but in this section |
||
|
70Exx |
刚体动力学和多体系统动力学 |
Dynamics of a rigid body and of multibody systems |
||
|
70E05 |
陀螺仪的运动 |
Motion of the gyroscope |
||
|
70E15 |
刚体自由运动[参见70M20] |
Free motion of a rigid body [See also 70M20] |
||
|
70E17 |
具有定点的刚体运动 |
Motion of a rigid body with a fixed point |
||
|
70E18 |
同固体界面接触的刚体运动[参见70F25] |
Motion of a rigid body in contact with a solid surface [See also 70F25] |
||
|
70E20 |
刚体动力学的摄动方法 |
Perturbation methods for rigid body dynamics |
||
|
70E40 |
运动的可积情形 |
Integrable cases of motion |
||
|
70E45 |
较高维上推广 |
Higher-dimensional generalizations |
||
|
70E50 |
稳定性问题 |
Stability problems |
||
|
70E55 |
多体系统动力学 |
Dynamics of multibody systems |
||
|
70E60 |
机器人动力学和控制[参见68T40, 70Q05, 93C85] |
Robot dynamics and control [See also 68T40, 70Q05, 93C85] |
||
|
70E99 |
其它 |
None of the above, but in this section |
||
|
70Fxx |
质点系统动力学, 包括天体力学 |
Dynamics of a system of particles, including celestial mechanics |
||
|
70F05 |
二体问题 |
Two-body problems |
||
|
70F07 |
三体问题 |
Three-body problems |
||
|
70F10 |
n-体问题 |
n-body problems |
||
|
70F15 |
天体力学 |
Celestial mechanics |
||
|
70F16 |
天体力学中的碰撞, 正则化 |
Collisions in celestial mechanics, regularization |
||
|
70F17 |
逆问题 |
Inverse problems |
||
|
70F20 |
完整系统 |
Holonomic systems |
||
|
70F25 |
非完整系统 |
Nonholonomic systems |
||
|
70F35 |
刚体或伪刚体的碰撞 |
Collision of rigid or pseudo-rigid bodies |
||
|
70F40 |
摩擦问题 |
Problems with friction |
||
|
70F45 |
无限质点系统 |
Infinite particle systems |
||
|
70F99 |
其它 |
None of the above, but in this section |
||
|
70Gxx |
一般模型、途径和方法[参见37-XX] |
General models, approaches, and methods [See also 37-XX] |
||
|
70G10 |
广义坐标; 事件空间, 冲击能空间, 构形空间, 状态空间或相空间 |
Generalized coordinates; event, impulse-energy, configuration, state, or phase space |
||
|
70G40 |
拓扑方法和微分拓扑方法 |
Topological and differential-topological methods |
||
|
70G45 |
微分几何方法(张量、联络、辛的、Poisson、接触、Riemann、非完整等)[参见53Cxx, 53Dxx, 58Axx] |
Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) [See also 53Cxx, 53Dxx, 58Axx] |
||
|
70G55 |
代数几何方法 |
Algebraic geometry methods |
||
|
70G60 |
动力系统方法 |
Dynamical systems methods |
||
|
70G65 |
对称, Lie群和Lie代数方法 |
Symmetries, Lie-group and Lie-algebra methods |
||
|
70G70 |
泛函分析方法 |
Functional-analytic methods |
||
|
70G75 |
变分法 |
Variational methods |
||
|
70G99 |
其它 |
None of the above, but in this section |
||
|
70Hxx |
Hamilton和Lagrange力学[参见37Jxx] |
Hamiltonian and Lagrangian mechanics [See also 37Jxx] |
||
|
70H03 |
Lagrange方程 |
Lagrange’s equations |
||
|
70H05 |
Hamilton方程 |
Hamilton’s equations |
||
|
70H06 |
完全可积系统和积分方法 |
Completely integrable systems and methods of integration |
||
|
70H07 |
不可积系统 |
Nonintegrable systems |
||
|
70H08 |
近可积Hamilton系统, KAM理论 |
Nearly integrable Hamiltonian systems, KAM theory |
||
|
70H09 |
扰动理论 |
Perturbation theories |
||
|
70H11 |
绝热不变量 |
Adiabatic invariants |
||
|
70H12 |
周期解和概周期解 |
Periodic and almost periodic solutions |
||
|
70H14 |
稳定性问题 |
Stability problems |
||
|
70H15 |
标准变换和辛变换 |
Canonical and symplectic transformations |
||
|
70H20 |
Hamilton-Jacobi方程 |
Hamilton-Jacobi equations |
||
|
70H25 |
Hamilton原理 |
Hamilton’s principle |
||
|
70H30 |
其它变分原理 |
Other variational principles |
||
|
70H33 |
对称律, 守恒律, 逆对称, 不变流形及其分歧, 约化 |
Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction |
||
|
70H40 |
相对论动力学 |
Relativistic dynamics |
||
|
70H45 |
约束动力学, Dirac约束理论[参见70F20, 70F25, 70Gxx] |
Constrained dynamics, Dirac’s theory of constraints [See also 70F20, 70F25, 70Gxx] |
||
|
70H50 |
更高阶理论 |
Higher-order theories |
||
|
70H99 |
其它 |
None of the above, but in this section |
||
|
70Jxx |
线性振动理论 |
Linear vibration theory |
||
|
70J10 |
模态分析 |
Modal analysis |
||
|
70J25 |
稳定性 |
Stability |
||
|
70J30 |
自由运动 |
Free motions |
||
|
70J35 |
受迫运动 |
Forced motions |
||
|
70J40 |
参量共振 |
Parametric resonances |
||
|
70J50 |
结构振动问题的离散化系统 |
Systems arising from the discretization of structural vibration problems |
||
|
70J99 |
其它 |
None of the above, but in this section |
||
|
70Kxx |
非线性动力学[参见34Cxx, 37-XX] |
Nonlinear dynamics [See also 34Cxx, 37-XX] |
||
|
70K05 |
相位平面分析, 极限环 |
Phase plane analysis, limit cycles |
||
|
70K20 |
稳定性 |
Stability |
||
|
70K25 |
自由运动 |
Free motions |
||
|
70K28 |
参量共振 |
Parametric resonances |
||
|
70K30 |
非线性共振 |
Nonlinear resonances |
||
|
70K40 |
受迫运动 |
Forced motions |
||
|
70K42 |
平衡轨道和周期轨道 |
Equilibria and periodic trajectories |
||
|
70K43 |
拟周期运动和不变环面 |
Quasi-periodic motions and invariant tori |
||
|
70K44 |
同宿轨道和异宿轨道 |
Homoclinic and heteroclinic trajectories |
||
|
70K45 |
标准型 |
Normal forms |
||
|
70K50 |
分叉和不稳定性 |
Bifurcations and instability |
||
|
70K55 |
随机性转移(混沌性态)[参见37D45] |
Transition to stochasticity (chaotic behavior) [See also 37D45] |
||
|
70K60 |
一般扰动格式 |
General perturbation schemes |
||
|
70K65 |
扰动平均 |
Averaging of perturbations |
||
|
70K70 |
慢速和快速运动系统 |
Systems with slow and fast motions |
||
|
70K75 |
非线性模式 |
Nonlinear modes |
||
|
70K99 |
其它 |
None of the above, but in this section |
||
|
70Lxx |
随机振动[参见74H50] |
Random vibrations [See also 74H50] |
||
|
70L05 |
随机振动[参见74H50] |
Random vibrations [See also 74H50] |
||
|
70L99 |
其它 |
None of the above, but in this section |
||
|
70Mxx |
轨道力学 |
Orbital mechanics |
||
|
70M20 |
轨道力学 |
Orbital mechanics |
||
|
70M99 |
其它 |
None of the above, but in this section |
||
|
70Pxx |
可变质量, 火箭 |
Variable mass, rockets |
||
|
70P05 |
可变质量, 火箭 |
Variable mass, rockets |
||
|
70P99 |
其它 |
None of the above, but in this section |
||
|
70Qxx |
力学系统的控制[参见60Gxx, 60Jxx] |
Control of mechanical systems [See also 60Gxx, 60Jxx] |
||
|
70Q05 |
力学系统的控制[参见60Gxx, 60Jxx] |
Control of mechanical systems [See also 60Gxx, 60Jxx] |
||
|
70Q99 |
其它 |
None of the above, but in this section |
||
|
70Sxx |
经典场论[参见37Kxx, 37Lxx, 78-XX, 81Txx, 83-XX] |
Classical field theories [See also 37Kxx, 37Lxx, 78-XX, 81Txx, 83-XX] |
||
|
70S05 |
Lagrange形式体系, Hamilton形式体系 |
Lagrangian formalism and Hamiltonian formalism |
||
|
70S10 |
对称律和守恒律 |
Symmetries and conservation laws |
||
|
70S15 |
Yang-Mills和其它规范理论 |
Yang-Mills and other gauge theories |
||
|
70S20 |
更一般非量子场论 |
More general nonquantum field theories |
||
|
70S99 |
其它 |
None of the above, but in this section |
||
|
74-XX |
变形固体力学 |
Mechanics of deformable solids |
||
|
74-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
74-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
74-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
74-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
74-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
74-05 |
实验工作 |
Experimental work |
||
|
74-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
74Axx |
连续固体力学的概论, 公理系统, 基础 |
Generalities, axiomatics, foundations of continuum mechanics of solids |
||
|
74A05 |
变形运动学 |
Kinematics of deformation |
||
|
74A10 |
应力 |
Stress |
||
|
74A15 |
热力学 |
Thermodynamics |
||
|
74A20 |
本构函数理论 |
Theory of constitutive functions |
||
|
74A25 |
分子理论, 统计理论和动力学理论 |
Molecular, statistical, and kinetic theories |
||
|
74A30 |
非单纯材料 |
Nonsimple materials |
||
|
74A35 |
极性材料 |
Polar materials |
||
|
74A40 |
随机材料和合成材料 |
Random materials and composite materials |
||
|
74A45 |
破裂和破坏理论 |
Theories of fracture and damage |
||
|
74A50 |
结构表面, 结构界面, 共存相 |
Structured surfaces and interfaces, coexistent phases |
||
|
74A55 |
摩擦理论 |
Theories of friction (tribology) |
||
|
74A60 |
微观力学理论 |
Micromechanical theories |
||
|
74A65 |
反应材料 |
Reactive materials |
||
|
74A99 |
其它 |
None of the above, but in this section |
||
|
74Bxx |
弹性材料 |
Elastic materials |
||
|
74B05 |
经典线性弹性学 |
Classical linear elasticity |
||
|
74B10 |
有初始应力的线性弹性学 |
Linear elasticity with initial stresses |
||
|
74B15 |
形变状态(小形变迭加在大形变上)线性化方程 |
Equations linearized about a deformed state (small deformations superposed on large) |
||
|
74B20 |
非线性弹性学 |
Nonlinear elasticity |
||
|
74B99 |
其它 |
None of the above, but in this section |
||
|
74Cxx |
可塑性材料, 应力速率和内部可变型材料 |
Plastic materials, materials of stress-rate and internal-variable type |
||
|
74C05 |
小应变, 速率无关理论(包括刚塑性和弹塑性材料) |
Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials) |
||
|
74C10 |
小应变, 速率相关理论(包括粘塑性理论) |
Small-strain, rate-dependent theories (including theories of viscoplasticity) |
||
|
74C15 |
大应变, 速率无关理论(包括非线性塑性力学) |
Large-strain, rate-independent theories (including nonlinear plasticity) |
||
|
74C20 |
大应变, 速率相关理论 |
Large-strain, rate-dependent theories |
||
|
74C99 |
其它 |
None of the above, but in this section |
||
|
74Dxx |
应变速率型材料和历史型材料, 其它具有记忆的材料(包括粘性阻尼弹性材料, 各种粘弹性材料) |
Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) |
||
|
74D05 |
线性本构方程 |
Linear constitutive equations |
||
|
74D10 |
非线性本构方程 |
Nonlinear constitutive equations |
||
|
74D99 |
其它 |
None of the above, but in this section |
||
|
74Exx |
特殊处理的材料性质 |
Material properties given special treatment |
||
|
74E05 |
非均匀材料 |
Inhomogeneity |
||
|
74E10 |
各向异性 |
Anisotropy |
||
|
74E15 |
晶状结构 |
Crystalline structure |
||
|
74E20 |
粒度 |
Granularity |
||
|
74E25 |
织构 |
Texture |
||
|
74E30 |
合成和混合性质 |
Composite and mixture properties |
||
|
74E35 |
随机结构 |
Random structure |
||
|
74E40 |
化学结构 |
Chemical structure |
||
|
74E99 |
其它 |
None of the above, but in this section |
||
|
74Fxx |
固体力学与其它效应的耦合 |
Coupling of solid mechanics with other effects |
||
|
74F05 |
热效应 |
Thermal effects |
||
|
74F10 |
流体-固体相互作用(包括气动力弹性和流体弹性、多孔性等) |
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
||
|
74F15 |
电磁效应 |
Electromagnetic effects |
||
|
74F20 |
混合效应 |
Mixture effects |
||
|
74F25 |
化学和活性效应 |
Chemical and reactive effects |
||
|
74F99 |
其它 |
None of the above, but in this section |
||
|
74Gxx |
平衡(稳态)问题 |
Equilibrium (steady-state) problems |
||
|
74G05 |
显式解 |
Explicit solutions |
||
|
74G10 |
解的解析逼近(摄动法、渐近线法、级数等) |
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) |
||
|
74G15 |
解的数值逼近 |
Numerical approximation of solutions |
||
|
74G20 |
解的局部存在性(接近一给定解) |
Local existence of solutions (near a given solution) |
||
|
74G25 |
解的整体存在性 |
Global existence of solutions |
||
|
74G30 |
解的唯一性 |
Uniqueness of solutions |
||
|
74G35 |
解的重数 |
Multiplicity of solutions |
||
|
74G40 |
解的正则性 |
Regularity of solutions |
||
|
74G45 |
解的界 |
Bounds for solutions |
||
|
74G50 |
Saint-Venant原理 |
Saint-Venant’s principle |
||
|
74G55 |
解的定性性态 |
Qualitative behavior of solutions |
||
|
74G60 |
分叉和屈曲 |
Bifurcation and buckling |
||
|
74G65 |
能量极小化 |
Energy minimization |
||
|
74G70 |
应力集中, 奇异性 |
Stress concentrations, singularities |
||
|
74G75 |
逆问题 |
Inverse problems |
||
|
74G99 |
其它 |
None of the above, but in this section |
||
|
74Hxx |
动力学问题 |
Dynamical problems |
||
|
74H05 |
显式解 |
Explicit solutions |
||
|
74H10 |
解的解析逼近(扰动法、渐近线法、级数等) |
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) |
||
|
74H15 |
解的数值逼近 |
Numerical approximation of solutions |
||
|
74H20 |
解的存在性 |
Existence of solutions |
||
|
74H25 |
解的唯一性 |
Uniqueness of solutions |
||
|
74H30 |
解的正则性 |
Regularity of solutions |
||
|
74H35 |
奇异性, 爆破, 应力集中 |
Singularities, blowup, stress concentrations |
||
|
74H40 |
解的长时间性态 |
Long-time behavior of solutions |
||
|
74H45 |
振荡 |
Vibrations |
||
|
74H50 |
随机振荡 |
Random vibrations |
||
|
74H55 |
稳定性 |
Stability |
||
|
74H60 |
动力学分歧 |
Dynamical bifurcation |
||
|
74H65 |
混沌性态 |
Chaotic behavior |
||
|
74H99 |
其它 |
None of the above, but in this section |
||
|
74Jxx |
波 |
Waves |
||
|
74J05 |
线性波 |
Linear waves |
||
|
74J10 |
体波 |
Bulk waves |
||
|
74J15 |
表面波 |
Surface waves |
||
|
74J20 |
波散射 |
Wave scattering |
||
|
74J25 |
逆问题 |
Inverse problems |
||
|
74J30 |
非线性波 |
Nonlinear waves |
||
|
74J35 |
孤波 |
Solitary waves |
||
|
74J40 |
激波和相关不连续性 |
Shocks and related discontinuities |
||
|
74J99 |
其它 |
None of the above, but in this section |
||
|
74Kxx |
薄体, 结构 |
Thin bodies, structures |
||
|
74K05 |
弦 |
Strings |
||
|
74K10 |
连杆(梁、柱、轴、拱、环等) |
Rods (beams, columns, shafts, arches, rings, etc.) |
||
|
74K15 |
薄膜 |
Membranes |
||
|
74K20 |
板 |
Plates |
||
|
74K25 |
壳体 |
Shells |
||
|
74K30 |
接合 |
Junctions |
||
|
74K35 |
薄膜 |
Thin films |
||
|
74K99 |
其它 |
None of the above, but in this section |
||
|
74Lxx |
固体力学的特殊子域 |
Special subfields of solid mechanics |
||
|
74L05 |
地球物理固体力学[参见86-XX] |
Geophysical solid mechanics [See also 86-XX] |
||
|
74L10 |
土力学和岩石力学 |
Soil and rock mechanics |
||
|
74L15 |
生物固体力学[参见92C10] |
Biomechanical solid mechanics [See also 92C10] |
||
|
74L99 |
其它 |
None of the above, but in this section |
||
|
74Mxx |
问题的特殊类型 |
Special kinds of problems |
||
|
74M05 |
控制, 开关和设备(“智能材料”)[参见93Cxx] |
Control, switches and devices (“smart materials”) [See also 93Cxx] |
||
|
74M10 |
摩擦 |
Friction |
||
|
74M15 |
接触 |
Contact |
||
|
74M20 |
冲击 |
Impact |
||
|
74M25 |
微观力学 |
Micromechanics |
||
|
74M99 |
其它 |
None of the above, but in this section |
||
|
74Nxx |
固体中的相变[参见74A50, 80Axx, 82B26, 82C26] |
Phase transformations in solids [See also 74A50, 80Axx, 82B26, 82C26] |
||
|
74N05 |
晶体 |
Crystals |
||
|
74N10 |
位移变换 |
Displacive transformations |
||
|
74N15 |
微观结构分析 |
Analysis of microstructure |
||
|
74N20 |
相边界动力学 |
Dynamics of phase boundaries |
||
|
74N25 |
扩散的变换 |
Transformations involving diffusion |
||
|
74N30 |
滞后的问题 |
Problems involving hysteresis |
||
|
74N99 |
其它 |
None of the above, but in this section |
||
|
74Pxx |
最优化[参见49Qxx] |
Optimization [See also 49Qxx] |
||
|
74P05 |
一致或权最优化 |
Compliance or weight optimization |
||
|
74P10 |
其它性质的最优化 |
Optimization of other properties |
||
|
74P15 |
拓扑方法 |
Topological methods |
||
|
74P20 |
几何方法 |
Geometrical methods |
||
|
74P99 |
其它 |
None of the above, but in this section |
||
|
74Qxx |
均匀化, 有效特征的测定 |
Homogenization, determination of effective properties |
||
|
74Q05 |
平衡(衡态)问题的均匀化 |
Homogenization in equilibrium problems |
||
|
74Q10 |
动力学问题的均匀性和振动 |
Homogenization and oscillations in dynamical problems |
||
|
74Q15 |
有效本构方程 |
Effective constitutive equations |
||
|
74Q20 |
有效特征界 |
Bounds on effective properties |
||
|
74Q99 |
其它 |
None of the above, but in this section |
||
|
74Rxx |
裂纹和损伤 |
Fracture and damage |
||
|
74R05 |
脆性损伤 |
Brittle damage |
||
|
74R10 |
脆性裂纹 |
Brittle fracture |
||
|
74R15 |
高速裂纹 |
High-velocity fracture |
||
|
74R20 |
内摩擦裂纹和损伤 |
Anelastic fracture and damage |
||
|
74R99 |
其它 |
None of the above, but in this section |
||
|
74Sxx |
数值方法[参见65-XX, 74G15, 74H15] |
Numerical methods [See also 65-XX, 74G15, 74H15] |
||
|
74S05 |
有限元(方)法 |
Finite element methods |
||
|
74S10 |
有限体积(方)法 |
Finite volume methods |
||
|
74S15 |
边界元(方)法 |
Boundary element methods |
||
|
74S20 |
有限差分(方)法 |
Finite difference methods |
||
|
74S25 |
谱(方)法和相关方法 |
Spectral and related methods |
||
|
74S30 |
其它数值(方)法 |
Other numerical methods |
||
|
74S60 |
随机方法 |
Stochastic methods |
||
|
74S70 |
复变量(方)法 |
Complex variable methods |
||
|
74S99 |
其它 |
None of the above, but in this section |
||
|
76-XX |
流体力学(一般连续力学, 见74Axx或74-XX其它部分) |
Fluid mechanics (For general continuum mechanics, see 74Axx, or other parts of 74-XX) |
||
|
76-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
76-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
76-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
76-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
76-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
76-05 |
实验工作 |
Experimental work |
||
|
76-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
76Axx |
基础, 结构方程, 流变学 |
Foundations, constitutive equations, rheology |
||
|
76A02 |
流体力学基础 |
Foundations of fluid mechanics |
||
|
76A05 |
非Newton流体 |
Non-Newtonian fluids |
||
|
76A10 |
粘弹性流体 |
Viscoelastic fluids |
||
|
76A15 |
液晶[参见82D30] |
Liquid crystals [See also 82D30] |
||
|
76A20 |
流体薄膜 |
Thin fluid films |
||
|
76A25 |
超流体(经典方面) |
Superfluids (classical aspects) |
||
|
76A99 |
其它 |
None of the above, but in this section |
||
|
76Bxx |
不可压缩非粘滞性流体 |
Incompressible inviscid fluids |
||
|
76B03 |
存在性, 唯一性和正则性理论[参见35Q35] |
Existence, uniqueness, and regularity theory [See also 35Q35] |
||
|
76B07 |
自由界面位势流 |
Free-surface potential flows |
||
|
76B10 |
射流和空腔, 空化, 自由流线理论, 水-入口问题, 机翼和水翼理论, 冲激 |
Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing |
||
|
76B15 |
水波, 重力波; 弥散和散射, 非线性相互作用[参见35Q30] |
Water waves, gravity waves; dispersion and scattering, nonlinear interaction [See also 35Q30] |
||
|
76B20 |
船波 |
Ship waves |
||
|
76B25 |
孤波[参见35C11] |
Solitary waves [See also 35C11] |
||
|
76B45 |
毛细现象(表面张力)[参见76D45] |
Capillarity (surface tension) [See also 76D45] |
||
|
76B47 |
涡流 |
Vortex flows |
||
|
76B55 |
内部波 |
Internal waves |
||
|
76B60 |
大气波[参见86A10] |
Atmospheric waves [See also 86A10] |
||
|
76B65 |
Rossby波[参见86A05, 86A10] |
Rossby waves [See also 86A05, 86A10] |
||
|
76B70 |
非粘滞性流体中的层次效应 |
Stratification effects in inviscid fluids |
||
|
76B75 |
流量控制和最优化[参见49Q10, 93C20, 93C95] |
Flow control and optimization [See also 49Q10, 93C20, 93C95] |
||
|
76B99 |
其它 |
None of the above, but in this section |
||
|
76Dxx |
不可压缩粘滞流体 |
Incompressible viscous fluids |
||
|
76D03 |
存在性, 唯一性和正则性理论[参见35Q30] |
Existence, uniqueness, and regularity theory [See also 35Q30] |
||
|
76D05 |
Navier-Stokes方程 |
Navier-Stokes equations [See also 35Q30] |
||
|
76D06 |
Navier-Stokes和相关方程的统计解[参见60H30, 76M35] |
Statistical solutions of Navier-Stokes and related equations [See also 60H30, 76M35] |
||
|
76D07 |
Stokes流和相关(Oseen等)流 |
Stokes and related (Oseen, etc.) flows |
||
|
76D08 |
润滑理论 |
Lubrication theory |
||
|
76D09 |
粘(滞)性-非粘(滞)性相互作用 |
Viscous-inviscid interaction |
||
|
76D10 |
边界层理论, 分离和再附着, 高阶效应 |
Boundary-layer theory, separation and reattachment, higher-order effects |
||
|
76D17 |
粘(滞)性涡流 |
Viscous vortex flows |
||
|
76D25 |
尾流和射流 |
Wakes and jets |
||
|
76D27 |
其它自由-边界流; Hele-Shaw流 |
Other free-boundary flows; Hele-Shaw flows |
||
|
76D33 |
波 |
Waves |
||
|
76D45 |
毛细现象(表面张力)[参见76B45] |
Capillarity (surface tension) [See also 76B45] |
||
|
76D50 |
粘(滞)性流中的层次效应 |
Stratification effects in viscous fluids |
||
|
76D55 |
流量控制和最优化[参见49Q10, 93C20, 93C95] |
Flow control and optimization [See also 49Q10, 93C20, 93C95] |
||
|
76D99 |
其它 |
None of the above, but in this section |
||
|
76Exx |
流体动力学的稳定性 |
Hydrodynamic stability |
||
|
76E05 |
平行剪切流 |
Parallel shear flows |
||
|
76E06 |
对流 |
Convection |
||
|
76E07 |
旋转 |
Rotation |
||
|
76E09 |
不平行流的稳定性和不稳定性 |
Stability and instability of nonparallel flows |
||
|
76E15 |
绝对和对流的不稳定性和稳定性 |
Absolute and convective instability and stability |
||
|
76E17 |
界面稳定性和不稳定性 |
Interfacial stability and instability |
||
|
76E19 |
(可)压缩性效应 |
Compressibility effects |
||
|
76E20 |
地球物理学和天体物理学流的稳定性和不稳定性 |
Stability and instability of geophysical and astrophysical flows |
||
|
76E25 |
磁流体动力和电流体动力流的稳定性的不稳定性 |
Stability and instability of magnetohydrodynamic and electrohydrodynamic flows |
||
|
76E30 |
非线性效应 |
Nonlinear effects |
||
|
76E99 |
其它 |
None of the above, but in this section |
||
|
76Fxx |
湍流[参见37-XX, 60Gxx, 60Jxx] |
Turbulence [See also 37-XX, 60Gxx, 60Jxx] |
||
|
76F02 |
基础 |
Fundamentals |
||
|
76F05 |
各向同性湍流; 齐次湍流 |
Isotropic turbulence; homogeneous turbulence |
||
|
76F06 |
向湍流的转换 |
Transition to turbulence |
||
|
76F10 |
剪切流 |
Shear flows |
||
|
76F20 |
湍流的动力学系统方法[参见37-XX] |
Dynamical systems approach to turbulence [See also 37-XX] |
||
|
76F25 |
湍流输运, 混合 |
Turbulent transport, mixing |
||
|
76F30 |
重正规化和其它场论方法[参见81T99] |
Renormalization and other field-theoretical methods [See also 81T99] |
||
|
76F35 |
对流湍流[参见76E15, 76Rxx] |
Convective turbulence [See also 76E15, 76Rxx] |
||
|
76F40 |
湍流边界层 |
Turbulent boundary layers |
||
|
76F45 |
层次效应 |
Stratification effects |
||
|
76F50 |
(可)压缩性效应 |
Compressibility effects |
||
|
76F55 |
统计湍流建模 [参见76M35] |
Statistical turbulence modeling [See also 76M35] |
||
|
76F60 |
k-ε建模 |
k-ε modeling |
||
|
76F65 |
湍流直接数值模拟和大涡流模拟 |
Direct numerical and large eddy simulation of turbulence |
||
|
76F70 |
湍流控制 |
Control of turbulent flows |
||
|
76F99 |
其它 |
None of the above, but in this section |
||
|
76Gxx |
一般空气动力学和亚音速流 |
General aerodynamics and subsonic flows |
||
|
76G25 |
一般空气动力学和亚音速流 |
General aerodynamics and subsonic flows |
||
|
76G99 |
其它 |
None of the above, but in this section |
||
|
76Hxx |
跨音速流 |
Transonic flows |
||
|
76H05 |
跨音速流 |
Transonic flows |
||
|
76H99 |
其它 |
None of the above, but in this section |
||
|
76Jxx |
超音速流 |
Supersonic flows |
||
|
76J20 |
超音速流 |
Supersonic flows |
||
|
76J99 |
其它 |
None of the above, but in this section |
||
|
76Kxx |
高超音速流 |
Hypersonic flows |
||
|
76K05 |
高超音速流 |
Hypersonic flows |
||
|
76K99 |
其它 |
None of the above, but in this section |
||
|
76Lxx |
激波和爆炸波[参见35L67] |
Shock waves and blast waves [See also 35L67] |
||
|
76L05 |
激波和爆炸波[参见35L67] |
Shock waves and blast waves [See also 35L67] |
||
|
76L99 |
其它 |
None of the above, but in this section |
||
|
76Mxx |
流体力学的基本方法[参见65-XX] |
Basic methods in fluid mechanics [See also 65-XX] |
||
|
76M10 |
有限元法 |
Finite element methods |
||
|
76M12 |
有限体积法 |
Finite volume methods |
||
|
76M15 |
边界元法 |
Boundary element methods |
||
|
76M20 |
有限差分法 |
Finite difference methods |
||
|
76M22 |
谱方法 |
Spectral methods |
||
|
76M23 |
涡流方法 |
Vortex methods |
||
|
76M25 |
其它数值方法 |
Other numerical methods |
||
|
76M27 |
目测算法 |
Visualization algorithms |
||
|
76M28 |
粒子方法和晶格-气体法 |
Particle methods and lattice-gas methods |
||
|
76M30 |
变分法 |
Variational methods |
||
|
76M35 |
随机分析 |
Stochastic analysis |
||
|
76M40 |
复变量法 |
Complex-variables methods |
||
|
76M45 |
渐近方法, 奇摄动 |
Asymptotic methods, singular perturbations |
||
|
76M50 |
均匀性 |
Homogenization |
||
|
76M55 |
维数分析和相似性 |
Dimensional analysis and similarity |
||
|
76M60 |
对称分析, Lie群和代数法 |
Symmetry analysis, Lie group and algebra methods |
||
|
76M99 |
其它 |
None of the above, but in this section |
||
|
76Nxx |
可压缩流体和气体动力学, 一般问题 |
Compressible fluids and gas dynamics, general |
||
|
76N10 |
存在性, 唯一性和正则性理论[参见35L60, 35L65, 35Q30] |
Existence, uniqueness, and regularity theory [See also 35L60, 35L65, 35Q30] |
||
|
76N15 |
气体动力学, 一般问题 |
Gas dynamics, general |
||
|
76N17 |
粘(滞)性-非粘(滞)性相互作用 |
Viscous-inviscid interaction |
||
|
76N20 |
边界层理论 |
Boundary-layer theory |
||
|
76N25 |
流(量)控制和最优化 |
Flow control and optimization |
||
|
76N99 |
其它 |
None of the above, but in this section |
||
|
76Pxx |
稀薄气流, Boltzmann方程[参见82B40, 82C40, 82D05] |
Rarefied gas flows, Boltzmann equation [See also 82B40, 82C40, 82D05] |
||
|
76P05 |
稀薄气流, Boltzmann方程[参见82B40, 82C40, 82D05] |
Rarefied gas flows, Boltzmann equation [See also 82B40, 82C40, 82D05] |
||
|
76P99 |
其它 |
None of the above, but in this section |
||
|
76Qxx |
水声学和大气声学 |
Hydro- and aero-acoustics |
||
|
76Q05 |
水声学和大气声学 |
Hydro- and aero-acoustics |
||
|
76Q99 |
其它 |
None of the above, but in this section |
||
|
76Rxx |
扩散和对流 |
Diffusion and convection |
||
|
76R05 |
受迫对流 |
Forced convection |
||
|
76R10 |
自由对流 |
Free convection |
||
|
76R50 |
扩散[参见60J60] |
Diffusion [See also 60J60] |
||
|
76R99 |
其它 |
None of the above, but in this section |
||
|
76Sxx |
多孔介质中的流; 滤波; 渗流 |
Flows in porous media; filtration; seepage |
||
|
76S05 |
多孔介质中的流; 滤波; 渗流 |
Flows in porous media; filtration; seepage |
||
|
76S99 |
其它 |
None of the above, but in this section |
||
|
76Txx |
两相流和多相流 |
Two-phase and multiphase flows |
||
|
76T10 |
液-气两相流, 起泡流 |
Liquid-gas two-phase flows, bubbly flows |
||
|
76T15 |
粉尘-气体两相流 |
Dusty-gas two-phase flows |
||
|
76T20 |
悬浮物 |
Suspensions |
||
|
76T25 |
粒状流[参见74C99, 74E20] |
Granular flows [See also 74C99, 74E20] |
||
|
76T30 |
三相或多相流 |
Three or more component flows |
||
|
76T99 |
其它 |
None of the above, but in this section |
||
|
76Uxx |
旋转流体 |
Rotating fluids |
||
|
76U05 |
旋转流体 |
Rotating fluids |
||
|
76U99 |
其它 |
None of the above, but in this section |
||
|
76Vxx |
流中的反应效应[参见80A32] |
Reaction effects in flows [See also 80A32] |
||
|
76V05 |
流中的反应效应[参见80A32] |
Reaction effects in flows [See also 80A32] |
||
|
76V99 |
其它 |
None of the above, but in this section |
||
|
76Wxx |
磁流体动力学和电流体动力学 |
Magnetohydrodynamics and electrohydrodynamics |
||
|
76W05 |
磁流体动力学和电流体动力学 |
Magnetohydrodynamics and electrohydrodynamics |
||
|
76W99 |
其它 |
None of the above, but in this section |
||
|
76Xxx |
电磁场中的电离气流; 等离子流[参见82D10] |
Ionized gas flow in electromagnetic fields; plasmic flow [See also 82D10] |
||
|
76X05 |
电磁场中的电离气流; 等离子流[参见82D10] |
Ionized gas flow in electromagnetic fields; plasmic flow [See also 82D10] |
||
|
76X99 |
其它 |
None of the above, but in this section |
||
|
76Yxx |
量子流体动力学和相对论流体动力学[参见82D50, 83C55, 85A30] |
Quantum hydrodynamics and relativistic hydrodynamics [See also 82D50, 83C55, 85A30] |
||
|
76Y05 |
量子流体动力学和相对论流体动力学[参见82D50, 83C55, 85A30] |
Quantum hydrodynamics and relativistic hydrodynamics [See also 82D50, 83C55, 85A30] |
||
|
76Y99 |
其它 |
None of the above, but in this section |
||
|
76Zxx |
生物流体力学[参见74F10, 74L15, 92Cxx] |
Biological fluid mechanics [See also 74F10, 74L15, 92Cxx] |
||
|
76Z05 |
生理学流[参见92C35] |
Physiological flows [See also 92C35] |
||
|
76Z10 |
水和空气中的生物推力 |
Biopropulsion in water and in air |
||
|
76Z99 |
其它 |
None of the above, but in this section |
||
|
78-XX |
光学, 电磁理论(量子光学, 见81V80) |
Optics, electromagnetic theory (For quantum optics, see 81V80) |
||
|
78-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
78-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
78-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
78-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
78-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
78-05 |
实验工作 |
Experimental work |
||
|
78-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
78Axx |
一般理论 |
General |
||
|
78A02 |
基础 |
Foundations |
||
|
78A05 |
几何光学 |
Geometric optics |
||
|
78A10 |
物理光学 |
Physical optics |
||
|
78A15 |
电子光学 |
Electron optics |
||
|
78A20 |
空间电波 |
Space charge waves |
||
|
78A25 |
电磁理论, 一般理论 |
Electromagnetic theory, general |
||
|
78A30 |
电磁静力学 |
Electro- and magnetostatics |
||
|
78A35 |
带电粒子的运动 |
Motion of charged particles |
||
|
78A37 |
离子阱 |
Ion traps |
||
|
78A40 |
波和辐射 |
Waves and radiation |
||
|
78A45 |
衍射, 散射[WKB方法, 参见34E20] |
Diffraction, scattering [See also 34E20 for WKB methods] |
||
|
78A46 |
逆散射问题 |
Inverse scattering problems |
||
|
78A48 |
合成介质; 随机介质 |
Composite media; random media |
||
|
78A50 |
天线, 波导 |
Antennas, wave-guides |
||
|
78A55 |
技术应用 |
Technical applications |
||
|
78A57 |
电化学 |
Electrochemistry |
||
|
78A60 |
激光, 微波激射器, 光的双稳性, 非线性光学[参见81V80] |
Lasers, masers, optical bistability, nonlinear optics [See also 81V80] |
||
|
78A70 |
在生物学上的应用[参见91D30, 92C30] |
Biological applications [See also 91D30, 92C30] |
||
|
78A97 |
数学上直观推断光学和电磁理论(还必须在这节至少指定一个其它分类号) |
Mathematically heuristic optics and electromagnetic theory (must also be assigned at least one other classification number in this section) |
||
|
78A99 |
其它 |
Miscellaneous topics |
||
|
78Mxx |
基本方法 |
Basic methods |
||
|
78M05 |
矩方法 |
Method of moments |
||
|
78M10 |
有限元法 |
Finite element methods |
||
|
78M12 |
有限体积法, 有限积分法 |
Finite volume methods, finite integration techniques |
||
|
78M15 |
边界元法 |
Boundary element methods |
||
|
78M16 |
多极法 |
Multipole methods |
||
|
78M20 |
有限差分法 |
Finite difference methods |
||
|
78M22 |
谱方法 |
Spectral methods |
||
|
78M25 |
其它数值方法 |
Other numerical methods |
||
|
78M30 |
变分法 |
Variational methods |
||
|
78M31 |
Monte Carlo方法 |
Monte Carlo methods |
||
|
78M32 |
神经和启发式方法 |
Neural and heuristic methods |
||
|
78M34 |
模型归约 |
Model reduction |
||
|
78M35 |
渐近分析 |
Asymptotic analysis |
||
|
78M40 |
均匀性 |
Homogenization |
||
|
78M50 |
最优化 |
Optimization |
||
|
78M99 |
其它 |
None of the above, but in this section |
||
|
80-XX |
经典热力学, 热传导(固体热力学, 见74A15) |
Classical thermodynamics, heat transfer (For thermodynamics of solids, see 74A15) |
||
|
80-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
80-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
80-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
80-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
80-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
80-05 |
实验论文 |
Experimental work |
||
|
80-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
80Axx |
热(动)力学和热传导 |
Thermodynamics and heat transfer |
||
|
80A05 |
基础 |
Foundations |
||
|
80A10 |
经典热(动)力学, 包括相对论 |
Classical thermodynamics, including relativistic |
||
|
80A17 |
连续介质热(动)力学[参见74A15] |
Thermodynamics of continua [See also 74A15] |
||
|
80A20 |
热质量转移, 热流 |
Heat and mass transfer, heat flow |
||
|
80A22 |
Stefan问题、相变等[参见74Nxx] |
Stefan problems, phase changes, etc. [See also 74Nxx] |
||
|
80A23 |
逆问题 |
Inverse problems |
||
|
80A25 |
燃烧 |
Combustion |
||
|
80A30 |
化学动力学[参见76V05, 92C45, 92E20] |
Chemical kinetics [See also 76V05, 92C45, 92E20] |
||
|
80A32 |
化学反应流[参见92C45, 92E20] |
Chemically reacting flows [See also 92C45, 92E20] |
||
|
80A50 |
化学(一般问题)[主要见92Exx] |
Chemistry (general) [See mainly 92Exx] |
||
|
80A99 |
其它 |
None of the above, but in this section |
||
|
80Mxx |
基本方法 |
Basic methods |
||
|
80M10 |
有限元法 |
Finite element methods |
||
|
80M12 |
有限体积法 |
Finite volume methods |
||
|
80M15 |
边界元法 |
Boundary element methods |
||
|
80M20 |
有限差分法 |
Finite difference methods |
||
|
80M22 |
谱方法 |
Spectral methods |
||
|
80M25 |
其它数值方法 |
Other numerical methods |
||
|
80M30 |
变分法 |
Variational methods |
||
|
80M31 |
Monte Carlo方法 |
Monte Carlo methods |
||
|
80M35 |
渐近分析 |
Asymptotic analysis |
||
|
80M40 |
均匀性 |
Homogenization |
||
|
80M50 |
最优化 |
Optimization |
||
|
80M99 |
其它 |
None of the above, but in this section |
||
|
81-XX |
量子理论 |
Quantum theory |
||
|
81-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
81-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
81-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
81-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
81-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
81-05 |
实验论文 |
Experimental papers |
||
|
81-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
81-08 |
计算方法 |
Computational methods |
||
|
81Pxx |
公理系统, 基础, 哲学 |
Axiomatics, foundations, philosophy |
||
|
81P05 |
一般问题和哲学问题 |
General and philosophical |
||
|
81P10 |
量子力学的逻辑基础; 量子逻辑[参见03G12, 06C15] |
Logical foundations of quantum mechanics; quantum logic [See also 03G12, 06C15] |
||
|
81P13 |
语境性 |
Contextuality |
||
|
81P15 |
量子测量理论 |
Quantum measurement theory |
||
|
81P16 |
量子态空间, 运算和概率概念 |
Quantum state spaces, operational and probabilistic concepts |
||
|
81P20 |
随机力学(包括随机电动力学) |
Stochastic mechanics (including stochastic electrodynamics) |
||
|
81P40 |
量子相干性, 纠缠, 量子相关 |
Quantum coherence, entanglement, quantum correlations |
||
|
81P45 |
量子信息, 通讯, 网络[参见94A15, 94A17] |
Quantum information, communication, networks [See also 94A15, 94A17] |
||
|
81P50 |
量子态估计, 近似克隆 |
Quantum state estimation, approximate cloning |
||
|
81P68 |
量子计算[参见68Q05, 68Q12] |
Quantum computation [See also 68Q05, 68Q12] |
||
|
81P70 |
量子编码(一般理论) |
Quantum coding (general) |
||
|
81P94 |
量子密码学[参见94A60] |
Quantum cryptography [See also 94A60] |
||
|
81P99 |
其它 |
None of the above, but in this section |
||
|
81Qxx |
量子理论中的一般数学课题和方法 |
General mathematical topics and methods in quantum theory |
||
|
81Q05 |
Schrödinger, Dirac, Klein-Gordon和其它量子力学方程的闭合解和近似解 |
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations |
||
|
81Q10 |
量子理论中的自伴算子理论, 包括谱分析 |
Selfadjoint operator theory in quantum theory, including spectral analysis |
||
|
81Q12 |
量子理论中的非自伴算子理论 |
Non-selfadjoint operator theory in quantum theory |
||
|
81Q15 |
算子和微分方程的微扰理论 |
Perturbation theories for operators and differential equations |
||
|
81Q20 |
包括WKB和Maslov方法的半经典技术 |
Semiclassical techniques including WKB and Maslov methods |
||
|
81Q30 |
Feynman积分和Feynman图; 代数拓扑和代数几何的应用[参见14D05, 32S40] |
Feynman integrals and graphs; applications of algebraic topology and algebraic geometry [See also 14D05, 32S40] |
||
|
81Q35 |
特殊空间: 流形、分形、图等上的量子力学 |
Quantum mechanics on special spaces: manifolds, fractals, graphs, etc. |
||
|
81Q37 |
量子点、波导、ratchets等 |
Quantum dots, waveguides, ratchets, etc. |
||
|
81Q40 |
Bethe-Salpeter和其它积分方程 |
Bethe-Salpeter and other integral equations |
||
|
81Q50 |
量子混沌[参见37Dxx] |
Quantum chaos [See also 37Dxx] |
||
|
81Q60 |
超对称性和量子力学 |
Supersymmetry and quantum mechanics |
||
|
81Q65 |
alternative量子力学 |
Alternative quantum mechanics |
||
|
81Q70 |
微分-几何(方)法、包括完全相、Berry和Hannay相等 |
Differential-geometric methods, including holonomy, Berry and Hannay phases, etc. |
||
|
81Q80 |
特殊量子系统, 比如: 可解系统 |
Special quantum systems, such as solvable systems |
||
|
81Q93 |
量子控制 |
Quantum control |
||
|
81Q99 |
其它 |
None of the above, but in this section |
||
|
81Rxx |
量子理论中的群和代数 |
Groups and algebras in quantum theory |
||
|
81R05 |
由物理学诱导的有限维群和代数及其表示[参见20C35, 22E70] |
Finite-dimensional groups and algebras motivated by physics and their representations [See also 20C35, 22E70] |
||
|
81R10 |
由物理学诱导的无限维群和代数, 包括Virasoro, Kac-Moody, W-代数与其它流行代数及其表示[参见17B65, 17B67, 22E65, 22E67, 22E70] |
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, W-algebras and other current algebras and their representations [See also 17B65, 17B67, 22E65, 22E67, 22E70] |
||
|
81R12 |
与可积系统的关系[参见17Bxx, 37J35] |
Relations with integrable systems [See also 17Bxx, 37J35] |
||
|
81R15 |
算子代数法[参见46Lxx, 81T05] |
Operator algebra methods [See also 46Lxx, 81T05] |
||
|
81R20 |
协变式波动方程 |
Covariant wave equations |
||
|
81R25 |
旋量和扭子法[参见32L25] |
Spinor and twistor methods [See also 32L25] |
||
|
81R30 |
相干态[参见22E45]; 压缩态[参见81V80] |
Coherent states [See also 22E45]; squeezed states [See also 81V80] |
||
|
81R40 |
对称破缺 |
Symmetry breaking |
||
|
81R50 |
量子群和相关代数法[参见16T20, 17B37] |
Quantum groups and related algebraic methods [See also 16T20, 17B37] |
||
|
81R60 |
非交换几何 |
Noncommutative geometry |
||
|
81R99 |
其它 |
None of the above, but in this section |
||
|
81Sxx |
一般量子力学和量子化问题 |
General quantum mechanics and problems of quantization |
||
|
81S05 |
正则量子化, 交换关系和统计学 |
Canonical quantization, commutation relations and statistics |
||
|
81S10 |
几何和量子化, 辛方法[参见53D50] |
Geometry and quantization, symplectic methods [See also 53D50] |
||
|
81S20 |
随机量子化 |
Stochastic quantization |
||
|
81S22 |
开放系统, 约化动力学, 主方程, 去相干[参见82C31] |
Open systems, reduced dynamics, master equations, decoherence [See also 82C31] |
||
|
81S25 |
量子随机微积分 |
Quantum stochastic calculus |
||
|
81S30 |
包括Wigner分布等的相空间方法 |
Phase space methods including Wigner distributions, etc. |
||
|
81S40 |
路径积分[参见58D30] |
Path integrals [See also 58D30] |
||
|
81S99 |
其它 |
None of the above, but in this section |
||
|
81Txx |
量子场论; 相关经典场论[参见70Sxx] |
Quantum field theory; related classical field theories [See also 70Sxx] |
||
|
81T05 |
公理化量子场论; 算子代数 |
Axiomatic quantum field theory; operator algebras |
||
|
81T08 |
构造量子场论 |
Constructive quantum field theory |
||
|
81T10 |
模型量子场论 |
Model quantum field theories |
||
|
81T13 |
Yang-Mills和其它度规理论[参见53C07, 58E15] |
Yang-Mills and other gauge theories [See also 53C07, 58E15] |
||
|
81T15 |
重正规化摄动法 |
Perturbative methods of renormalization |
||
|
81T16 |
重正规化非摄动法 |
Nonperturbative methods of renormalization |
||
|
81T17 |
重正规化群方法 |
Renormalization group methods |
||
|
81T18 |
Feynman图解 |
Feynman diagrams |
||
|
81T20 |
弯曲空间上的量子场论 |
Quantum field theory on curved space backgrounds |
||
|
81T25 |
格上的量子场论 |
Quantum field theory on lattices |
||
|
81T27 |
连续统极限 |
Continuum limits |
||
|
81T28 |
热量子场论[参见82B30] |
Thermal quantum field theory [See also 82B30] |
||
|
81T30 |
弦和超弦理论; 其它广义对象(例如: branes)[参见83E30] |
String and superstring theories; other extended objects (e.g., branes) [See also 83E30] |
||
|
81T40 |
二维场论、共形场论等 |
Two-dimensional field theories, conformal field theories, etc. |
||
|
81T45 |
拓扑场论[参见57R56, 58Dxx] |
Topological field theories [See also 57R56, 58Dxx] |
||
|
81T50 |
异常 |
Anomalies |
||
|
81T55 |
Casimir效应 |
Casimir effect |
||
|
81T60 |
超对称场论 |
Supersymmetric field theories |
||
|
81T70 |
场论中的量子化; 上同调方法[参见58D29] |
Quantization in field theory; cohomological methods [See also 58D29] |
||
|
81T75 |
非交换几何法[参见46L85, 46L87, 58B34] |
Noncommutative geometry methods [See also 46L85, 46L87, 58B34] |
||
|
81T80 |
模拟和数值建模 |
Simulation and numerical modeling |
||
|
81T99 |
其它 |
None of the above, but in this section |
||
|
81Uxx |
散射理论[参见34A55, 34L25, 34L40, 35P25, 47A40] |
Scattering theory [See also 34A55, 34L25, 34L40, 35P25, 47A40] |
||
|
81U05 |
2-体位势散射理论[WKB(方)法参见34E20] |
2-body potential scattering theory [See also 34E20 for WKB methods] |
||
|
81U10 |
n-体位势散射理论 |
n-body potential scattering theory |
||
|
81U15 |
精确和拟可解系统 |
Exactly and quasi-solvable systems |
||
|
81U20 |
S-矩阵论等 |
S-matrix theory, etc. |
||
|
81U30 |
色散理论, 色散关系 |
Dispersion theory, dispersion relations |
||
|
81U35 |
无弹性和多通道散射 |
Inelastic and multichannel scattering |
||
|
81U40 |
逆散射问题 |
Inverse scattering problems |
||
|
81U99 |
其它 |
None of the above, but in this section |
||
|
81Vxx |
在特殊物理系统中的应用 |
Applications to specific physical systems |
||
|
81V05 |
强相互作用, 包括量子色动力学 |
Strong interaction, including quantum chromodynamics |
||
|
81V10 |
电磁相互作用; 量子电动力学 |
Electromagnetic interaction; quantum electrodynamics |
||
|
81V15 |
弱相互作用 |
Weak interaction |
||
|
81V17 |
引力相互作用[参见83Cxx和83Exx] |
Gravitational interaction [See also 83Cxx and 83Exx] |
||
|
81V19 |
其它基本相互作用 |
Other fundamental interactions |
||
|
81V22 |
统一理论 |
Unified theories |
||
|
81V25 |
其它基本粒子理论 |
Other elementary particle theory |
||
|
81V35 |
核物理 |
Nuclear physics |
||
|
81V45 |
原子物理 |
Atomic physics |
||
|
81V55 |
分子物理[参见92E10] |
Molecular physics [See also 92E10] |
||
|
81V65 |
量子点[参见82D20] |
Quantum dots [See also 82D20] |
||
|
81V70 |
多体理论; 量子Hall效应 |
Many-body theory; quantum Hall effect |
||
|
81V80 |
量子光学 |
Quantum optics |
||
|
81V99 |
其它 |
None of the above, but in this section |
||
|
82-XX |
统计力学, 物质结构 |
Statistical mechanics, structure of matter |
||
|
82-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
82-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
82-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
82-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
82-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
82-05 |
实验论文 |
Experimental papers |
||
|
82-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
82-08 |
计算方法 |
Computational methods |
||
|
82Bxx |
平衡统计力学 |
Equilibrium statistical mechanics |
||
|
82B03 |
基础 |
Foundations |
||
|
82B05 |
经典平衡统计力学(一般问题) |
Classical equilibrium statistical mechanics (general) |
||
|
82B10 |
量子平衡统计力学(一般问题) |
Quantum equilibrium statistical mechanics (general) |
||
|
82B20 |
晶格系统(Ising、dimer、Potts等)和图上系统 |
Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs |
||
|
82B21 |
连续统模型(粒子系统等) |
Continuum models (systems of particles, etc.) |
||
|
82B23 |
精确可解模型; Bethe拟设 |
Exactly solvable models; Bethe ansatz |
||
|
82B24 |
界面问题; 扩散限制聚集 |
Interface problems; diffusion-limited aggregation |
||
|
82B26 |
相变(一般问题) |
Phase transitions (general) |
||
|
82B27 |
临界现象 |
Critical phenomena |
||
|
82B28 |
重正规化群方法[参见81T17] |
Renormalization group methods [See also 81T17] |
||
|
82B30 |
统计热动力学[参见80-XX] |
Statistical thermodynamics [See also 80-XX] |
||
|
82B31 |
随机方法 |
Stochastic methods |
||
|
82B35 |
不可逆热动力学, 包括Onsager-Machlup理论[参见92E20] |
Irreversible thermodynamics, including Onsager-Machlup theory [See also 92E20] |
||
|
82B40 |
气体动力理论 |
Kinetic theory of gases |
||
|
82B41 |
随机游动、随机表面、晶格animals等[参见60G50, 82C41] |
Random walks, random surfaces, lattice animals, etc. [See also 60G50, 82C41] |
||
|
82B43 |
渗透[参见60K35] |
Percolation [See also 60K35] |
||
|
82B44 |
无序系统(随机Ising模型、随机Schrödinger算子等) |
Disordered systems (random Ising models, random Schrödinger operators, etc.) |
||
|
82B80 |
数值方法(Monte Carlo、级数重新求和等)[参见65-XX, 81T80] |
Numerical methods (Monte Carlo, series resummation, etc.) [See also 65-XX, 81T80] |
||
|
82B99 |
其它 |
None of the above, but in this section |
||
|
82Cxx |
不定常统计力学(动力学和非平衡) |
Time-dependent statistical mechanics (dynamic and nonequilibrium) |
||
|
82C03 |
基础 |
Foundations |
||
|
82C05 |
经典动力学和非平衡统计力学(一般问题) |
Classical dynamic and nonequilibrium statistical mechanics (general) |
||
|
82C10 |
量子动力学和非平衡统计力学(一般问题) |
Quantum dynamics and nonequilibrium statistical mechanics (general) |
||
|
82C20 |
动力晶格系统(动力学Ising等)和图上系统 |
Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs |
||
|
82C21 |
动力连续统模型(粒子系统等) |
Dynamic continuum models (systems of particles, etc.) |
||
|
82C22 |
交互作用粒子系统[参见60K35] |
Interacting particle systems [See also 60K35] |
||
|
82C23 |
精确可解动力模型[参见37K60] |
Exactly solvable dynamic models [See also 37K60] |
||
|
82C24 |
界面问题; 扩散限制聚集 |
Interface problems; diffusion-limited aggregation |
||
|
82C26 |
动力学和非平衡相变(一般问题) |
Dynamic and nonequilibrium phase transitions (general) |
||
|
82C27 |
动力学临界现象 |
Dynamic critical phenomena |
||
|
82C28 |
动力学重正规化群方法[参见81T17] |
Dynamic renormalization group methods [See also 81T17] |
||
|
82C31 |
随机方法(Fokker-Planck、Langevin等)[参见60H10] |
Stochastic methods (Fokker-Planck, Langevin, etc.) [See also 60H10] |
||
|
82C32 |
神经网[参见68T05, 91E40, 92B20] |
Neural nets [See also 68T05, 91E40, 92B20] |
||
|
82C35 |
不可逆热动力学, 包括Onsager-Machlup理论 |
Irreversible thermodynamics, including Onsager-Machlup theory |
||
|
82C40 |
气体动力理论 |
Kinetic theory of gases |
||
|
82C41 |
随机游动、随机表面、晶格animals等的动力学[参见60G50] |
Dynamics of random walks, random surfaces, lattice animals, etc. [See also 60G50] |
||
|
82C43 |
不定常渗透[参见60K35] |
Time-dependent percolation [See also 60K35] |
||
|
82C44 |
无序系统(随机Ising系统等)的动力学 |
Dynamics of disordered systems (random Ising systems, etc.) |
||
|
82C70 |
输运过程 |
Transport processes |
||
|
82C80 |
数值方法(Monte Carlo、级数重新求和等) |
Numerical methods (Monte Carlo, series resummation, etc.) |
||
|
82C99 |
其它 |
None of the above, but in this section |
||
|
82Dxx |
在特殊类型物理系统中的应用 |
Applications to specific types of physical systems |
||
|
82D05 |
气体 |
Gases |
||
|
82D10 |
等离子体 |
Plasmas |
||
|
82D15 |
液体 |
Liquids |
||
|
82D20 |
固体 |
Solids |
||
|
82D25 |
晶体(结晶群理论, 见20H15) |
Crystals (For crystallographic group theory, see 20H15) |
||
|
82D30 |
随机介质, 无序材料(包括液晶和自旋玻璃) |
Random media, disordered materials (including liquid crystals and spin glasses) |
||
|
82D35 |
金属 |
Metals |
||
|
82D37 |
半导体 |
Semiconductors |
||
|
82D40 |
磁性材料 |
Magnetic materials |
||
|
82D45 |
铁电体 |
Ferroelectrics |
||
|
82D50 |
超流体 |
Superfluids |
||
|
82D55 |
超导体 |
Superconductors |
||
|
82D60 |
聚合物 |
Polymers |
||
|
82D75 |
核反应堆理论; 中子输运 |
Nuclear reactor theory; neutron transport |
||
|
82D77 |
量子波导, 量子线[参见78A50] |
Quantum wave guides, quantum wires [See also 78A50] |
||
|
82D80 |
纳米结构和纳米粒子 |
Nanostructures and nanoparticles |
||
|
82D99 |
其它 |
None of the above, but in this section |
||
|
83-XX |
相对论和引力理论 |
Relativity and gravitational theory |
||
|
83-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
83-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
83-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
83-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
83-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
83-05 |
实验工作 |
Experimental work |
||
|
83-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
83-08 |
计算方法 |
Computational methods |
||
|
83Axx |
狭义相对论 |
Special relativity |
||
|
83A05 |
狭义相对论 |
Special relativity |
||
|
83A99 |
其它 |
None of the above, but in this section |
||
|
83Bxx |
观测问题和实验问题 |
Observational and experimental questions |
||
|
83B05 |
观测问题和实验问题 |
Observational and experimental questions |
||
|
83B99 |
其它 |
None of the above, but in this section |
||
|
83Cxx |
广义相对论 |
General relativity |
||
|
83C05 |
Einstein方程(一般结构, 正则形式, Cauchy问题) |
Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
||
|
83C10 |
运动方程 |
Equations of motion |
||
|
83C15 |
精确解 |
Exact solutions |
||
|
83C20 |
解的种类; 代数特殊解, 对称度量 |
Classes of solutions; algebraically special solutions, metrics with symmetries |
||
|
83C22 |
Einstein-Maxwell方程 |
Einstein-Maxwell equations |
||
|
83C25 |
近似方法, 弱场 |
Approximation procedures, weak fields |
||
|
83C27 |
晶格引力, Regge微积分与其它离散方法 |
Lattice gravity, Regge calculus and other discrete methods |
||
|
83C30 |
渐近(方)法(辐射、新函数、H-空间等) |
Asymptotic procedures (radiation, news functions, H-spaces, etc.) |
||
|
83C35 |
引力波 |
Gravitational waves |
||
|
83C40 |
引力能量和守恒律; 运动群 |
Gravitational energy and conservation laws; groups of motions |
||
|
83C45 |
引力场的量子化 |
Quantization of the gravitational field |
||
|
83C47 |
量子场论方法[参见81T20] |
Methods of quantum field theory [See also 81T20] |
||
|
83C50 |
电磁场 |
Electromagnetic fields |
||
|
83C55 |
引力场同物质(流体动力学等)的宏观相互作用 |
Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) |
||
|
83C57 |
黑洞 |
Black holes |
||
|
83C60 |
旋量和扭子法; Newman-Penrose形式 |
Spinor and twistor methods; Newman-Penrose formalism |
||
|
83C65 |
非交换几何方法[参见58B34] |
Methods of noncommutative geometry [See also 58B34] |
||
|
83C75 |
时空奇异性、宇宙的督察等 |
Space-time singularities, cosmic censorship, etc. |
||
|
83C80 |
低维中的模拟 |
Analogues in lower dimensions |
||
|
83C99 |
其它 |
None of the above, but in this section |
||
|
83Dxx |
非Einstein相对引力理论, 包括非对称场论 |
Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
||
|
83D05 |
非Einstein相对引力理论, 包括非对称场论 |
Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
||
|
83D99 |
其它 |
None of the above, but in this section |
||
|
83Exx |
统一场论, 高维场论和超场论 |
Unified, higher-dimensional and super field theories |
||
|
83E05 |
几何动力学 |
Geometrodynamics |
||
|
83E15 |
Kaluza-Klein和其它高维理论 |
Kaluza-Klein and other higher-dimensional theories |
||
|
83E30 |
弦和超弦理论[参见81T30] |
String and superstring theories [See also 81T30] |
||
|
83E50 |
超引力 |
Supergravity |
||
|
83E99 |
其它 |
None of the above, but in this section |
||
|
83Fxx |
宇宙论 |
Cosmology |
||
|
83F05 |
宇宙论 |
Cosmology |
||
|
83F99 |
其它 |
None of the above, but in this section |
||
|
85-XX |
天文学和天体物理学(天体力学, 见70F15) |
Astronomy and astrophysics (For celestial mechanics, see 70F15) |
||
|
85-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
85-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
85-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
85-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
85-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
85-05 |
实验工作 |
Experimental work |
||
|
85-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
85-08 |
计算方法 |
Computational methods |
||
|
85Axx |
天文学和天体物理学(天体力学, 见70F15) |
Astronomy and astrophysics (For celestial mechanics, see 70F15) |
||
|
85A04 |
一般问题 |
General |
||
|
85A05 |
银河系和天体动力学 |
Galactic and stellar dynamics |
||
|
85A15 |
银河系和天体结构 |
Galactic and stellar structure |
||
|
85A20 |
行星大气 |
Planetary atmospheres |
||
|
85A25 |
辐射传导 |
Radiative transfer |
||
|
85A30 |
流体动力问题和流体磁力问题[参见76Y05] |
Hydrodynamic and hydromagnetic problems [See also 76Y05] |
||
|
85A35 |
统计天文学 |
Statistical astronomy |
||
|
85A40 |
宇宙学(相对论的宇宙学, 见83F05) |
Cosmology (For relativistic cosmology, see 83F05) |
||
|
85A99 |
各种课题 |
Miscellaneous topics |
||
|
86-XX |
地球物理学[参见76U05, 76V05] |
Geophysics [See also 76U05, 76V05] |
||
|
86-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
86-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
86-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
86-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
86-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
86-05 |
实验工作 |
Experimental work |
||
|
86-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
86-08 |
计算方法 |
Computational methods |
||
|
86Axx |
地球物理学[参见76U05, 76V05] |
Geophysics [See also 76U05, 76V05] |
||
|
86A04 |
一般问题 |
General |
||
|
86A05 |
水文学, 水文地理学, 海洋学[参见76Bxx, 76E20, 76Q05, 76Rxx, 76U05] |
Hydrology, hydrography, oceanography [See also 76Bxx, 76E20, 76Q05, 76Rxx, 76U05] |
||
|
86A10 |
气象学和大气物理学[参见76Bxx, 76E20, 76N15, 76Q05, 76Rxx, 76U05] |
Meteorology and atmospheric physics [See also 76Bxx, 76E20, 76N15, 76Q05, 76Rxx, 76U05] |
||
|
86A15 |
地震学 |
Seismology |
||
|
86A17 |
地球动力学, 地震问题 |
Global dynamics, earthquake problems |
||
|
86A20 |
位势, 勘探 |
Potentials, prospecting |
||
|
86A22 |
逆问题[参见35R30] |
Inverse problems [See also 35R30] |
||
|
86A25 |
地电学和地磁学[参见76W05, 78A25] |
Geo-electricity and geomagnetism [See also 76W05, 78A25] |
||
|
86A30 |
大地测量学, 绘图问题 |
Geodesy, mapping problems |
||
|
86A32 |
大地统计学 |
Geostatistics |
||
|
86A40 |
冰川学 |
Glaciology |
||
|
86A60 |
地质问题 |
Geological problems |
||
|
86A99 |
各种课题 |
Miscellaneous topics |
||
|
90-XX |
运筹学, 数学规划 |
Operations research, mathematical programming |
||
|
90-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
90-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
90-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
90-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
90-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
90-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
90-08 |
计算方法 |
Computational methods |
||
|
90Bxx |
运筹学和管理科学 |
Operations research and management science |
||
|
90B05 |
库存, 存储, 储藏所 |
Inventory, storage, reservoirs |
||
|
90B06 |
运输, 物流 |
Transportation, logistics |
||
|
90B10 |
网络模型, 确定的 |
Network models, deterministic |
||
|
90B15 |
网络模型, 随机的 |
Network models, stochastic |
||
|
90B18 |
通信网络[参见68M10, 94A05] |
Communication networks [See also 68M10, 94A05] |
||
|
90B20 |
交通问题 |
Traffic problems |
||
|
90B22 |
排队和服务[参见60K25, 68M20] |
Queues and service [See also 60K25, 68M20] |
||
|
90B25 |
可靠性, 有效性, 维修, 检查[参见60K10, 62N05] |
Reliability, availability, maintenance, inspection [See also 60K10, 62N05] |
||
|
90B30 |
生产模型 |
Production models |
||
|
90B35 |
调度理论, 确定的[参见68M20] |
Scheduling theory, deterministic [See also 68M20] |
||
|
90B36 |
调度理论, 随机的[参见68M20] |
Scheduling theory, stochastic [See also 68M20] |
||
|
90B40 |
搜索理论 |
Search theory |
||
|
90B50 |
管理决策, 包括多目标[参见90C29, 90C31, 91A35, 91B06] |
Management decision making, including multiple objectives [See also 90C29, 90C31, 91A35, 91B06] |
||
|
90B60 |
市场营销, 广告[参见91B60] |
Marketing, advertising [See also 91B60] |
||
|
90B70 |
组织理论, 人力计划的理论[参见91D35] |
Theory of organizations, manpower planning [See also 91D35] |
||
|
90B80 |
分散选址和分配[参见90C10] |
Discrete location and assignment [See also 90C10] |
||
|
90B85 |
连续选址 |
Continuous location |
||
|
90B90 |
面向案例研究 |
Case-oriented studies |
||
|
90B99 |
其它 |
None of the above, but in this section |
||
|
90Cxx |
数学规划[参见49Mxx, 65Kxx] |
Mathematical programming [See also 49Mxx, 65Kxx] |
||
|
90C05 |
线性规划 |
Linear programming |
||
|
90C06 |
大规模问题 |
Large-scale problems |
||
|
90C08 |
线性规划的特殊问题(运输、多指标等) |
Special problems of linear programming (transportation, multi-index, etc.) |
||
|
90C09 |
Boole规划 |
Boolean programming |
||
|
90C10 |
整数规划 |
Integer programming |
||
|
90C11 |
混合整数规划 |
Mixed integer programming |
||
|
90C15 |
随机规划 |
Stochastic programming |
||
|
90C20 |
二次规划 |
Quadratic programming |
||
|
90C22 |
半定规划 |
Semidefinite programming |
||
|
90C25 |
凸规划 |
Convex programming |
||
|
90C26 |
非凸规划, 全局最优化 |
Nonconvex programming, global optimization |
||
|
90C27 |
组合最优化 |
Combinatorial optimization |
||
|
90C29 |
多目标规划和目标规划 |
Multi-objective and goal programming |
||
|
90C30 |
非线性规划 |
Nonlinear programming |
||
|
90C31 |
灵敏度, 稳定性, 参量最优化 |
Sensitivity, stability, parametric optimization |
||
|
90C32 |
分式规划 |
Fractional programming |
||
|
90C33 |
互补性, 均衡问题和变分不等式(有限维) |
Complementarity and equilibrium problems and variational inequalities (finite dimensions) |
||
|
90C34 |
半无限规划 |
Semi-infinite programming |
||
|
90C35 |
涉及图或网络的规划[参见90C27] |
Programming involving graphs or networks [See also 90C27] |
||
|
90C39 |
动态规划[参见49L20] |
Dynamic programming [See also 49L20] |
||
|
90C40 |
Markov和半Markov决策过程 |
Markov and semi-Markov decision processes |
||
|
90C46 |
最优化条件, 对偶性[参见49N15] |
Optimality conditions, duality [See also 49N15] |
||
|
90C47 |
极小极大问题[参见49K35] |
Minimax problems [See also 49K35] |
||
|
90C48 |
抽象空间中的规划 |
Programming in abstract spaces |
||
|
90C49 |
极值点和旋转方法 |
Extreme-point and pivoting methods |
||
|
90C51 |
内点法 |
Interior-point methods |
||
|
90C52 |
既约梯度型方法 |
Methods of reduced gradient type |
||
|
90C53 |
拟Newton型方法 |
Methods of quasi-Newton type |
||
|
90C55 |
逐次二次规划型方法 |
Methods of successive quadratic programming type |
||
|
90C56 |
无导数法和使用广义导数的方法[参见49J52] |
Derivative-free methods and methods using generalized derivatives [See also 49J52] |
||
|
90C57 |
多面体组合学, 分枝定界, 分枝切割 |
Polyhedral combinatorics, branch-and-bound, branch-and-cut |
||
|
90C59 |
近似法和启发式 |
Approximation methods and heuristics |
||
|
90C60 |
数学规划问题的抽象计算复杂性[参见68Q25] |
Abstract computational complexity for mathematical programming problems [See also 68Q25] |
||
|
90C70 |
模糊规划 |
Fuzzy programming |
||
|
90C90 |
数学规划的应用 |
Applications of mathematical programming |
||
|
90C99 |
其它 |
None of the above, but in this section |
||
|
91-XX |
对策论, 经济学, 社会科学和行为科学 |
Game theory, economics, social and behavioral sciences |
||
|
91-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
91-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
91-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
91-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from section 01) |
||
|
91-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
91-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
91-08 |
计算方法 |
Computational methods |
||
|
91Axx |
对策论 |
Game theory |
||
|
91A05 |
2-人对策 |
2-person games |
||
|
91A06 |
n-人对策, n >2 |
n-person games, n >2 |
||
|
91A10 |
非合作对策 |
Noncooperative games |
||
|
91A12 |
合作对策 |
Cooperative games |
||
|
91A13 |
无穷多局中人对策 |
Games with infinitely many players |
||
|
91A15 |
随机对策 |
Stochastic games |
||
|
91A18 |
扩展型对策 |
Games in extensive form |
||
|
91A20 |
多级对策和重复对策 |
Multistage and repeated games |
||
|
91A22 |
进化对策 |
Evolutionary games |
||
|
91A23 |
微分对策[参见49N70] |
Differential games [See also 49N70] |
||
|
91A24 |
位置对策(追逃对策等)[参见49N75] |
Positional games (pursuit and evasion, etc.) [See also 49N75] |
||
|
91A25 |
动态对策 |
Dynamic games |
||
|
91A26 |
推理, 学习 |
Rationality, learning |
||
|
91A28 |
信号, 通信 |
Signaling, communication |
||
|
91A30 |
对策的效用理论[参见91B16] |
Utility theory for games [See also 91B16] |
||
|
91A35 |
对策的决策理论[参见62Cxx, 91B06, 91B50] |
Decision theory for games [See also 62Cxx, 91B06, 90B50] |
||
|
91A40 |
对策论模型 |
Game-theoretic models |
||
|
91A43 |
包括图的对策[参见05C57] |
Games involving graphs [See also 05C57] |
||
|
91A44 |
包括拓扑或集论的对策 |
Games involving topology or set theory |
||
|
91A46 |
组合对策 |
Combinatorial games |
||
|
91A50 |
离散时间对策 |
Discrete-time games |
||
|
91A55 |
定时对策 |
Games of timing |
||
|
91A60 |
概率对策; 赌博[参见60G40] |
Probabilistic games; gambling [See also 60G40] |
||
|
91A65 |
层次对策 |
Hierarchical games |
||
|
91A70 |
对策空间 |
Spaces of games |
||
|
91A80 |
对策论的应用 |
Applications of game theory |
||
|
91A90 |
实验研究 |
Experimental studies |
||
|
91A99 |
其它 |
None of the above, but in this section |
||
|
91Bxx |
数理经济学(计量经济学, 见62P20) |
Mathematical economics (For econometrics, see 62P20) |
||
|
91B02 |
基础课题(基础数学, 方法论; 一般应用于经济) |
Fundamental topics (basic mathematics, methodology; applicable to economics in general) |
||
|
91B06 |
决策理论[参见62Cxx, 90B50, 91A35] |
Decision theory [See also 62Cxx, 90B50, 91A35] |
||
|
91B08 |
个体选择 |
Individual preferences |
||
|
91B10 |
团体选择 |
Group preferences |
||
|
91B12 |
表决理论 |
Voting theory |
||
|
91B14 |
社会选择 |
Social choice |
||
|
91B15 |
福利经济学 |
Welfare economics |
||
|
91B16 |
效用理论 |
Utility theory |
||
|
91B18 |
公共财产 |
Public goods |
||
|
91B24 |
价格理论和市场结构 |
Price theory and market structure |
||
|
91B25 |
资产定价模型 |
Asset pricing models |
||
|
91B26 |
市场模型(拍卖、议价、出价、销售等) |
Market models (auctions, bargaining, bidding, selling, etc.) |
||
|
91B30 |
风险理论, 保险 |
Risk theory, insurance |
||
|
91B32 |
资源和费用分配 |
Resource and cost allocation |
||
|
91B38 |
生产理论, 企业理论 |
Production theory, theory of the firm |
||
|
91B40 |
劳动市场, 合同 |
Labor market, contracts |
||
|
91B42 |
消费行为, 需求理论 |
Consumer behavior, demand theory |
||
|
91B44 |
信息经济学 |
Informational economics |
||
|
91B50 |
一般均衡理论 |
General equilibrium theory |
||
|
91B51 |
动态随机一般均衡理论 |
Dynamic stochastic general equilibrium theory |
||
|
91B52 |
特殊均衡类型 |
Special types of equilibria |
||
|
91B54 |
特殊经济类型 |
Special types of economies |
||
|
91B55 |
经济动态学 |
Economic dynamics |
||
|
91B60 |
贸易模型 |
Trade models |
||
|
91B62 |
成长模型 |
Growth models |
||
|
91B64 |
宏观经济模型(货币模型, 税收模型) |
Macro-economic models (monetary models, models of taxation) |
||
|
91B66 |
多部门模型 |
Multisectoral models |
||
|
91B68 |
匹配模型 |
Matching models |
||
|
91B69 |
异构主体模型 |
Heterogeneous agent models |
||
|
91B70 |
随机模型 |
Stochastic models |
||
|
91B72 |
空间模型 |
Spatial models |
||
|
91B74 |
真实世界系统模型 |
Models of real-world systems |
||
|
91B76 |
环境经济学(天然资源模型、收成、污染等) |
Environmental economics (natural resource models, harvesting, pollution, etc.) |
||
|
91B80 |
统计学和量子力学在经济学(经济物理学)的应用 |
Applications of statistical and quantum mechanics to economics (econophysics) |
||
|
91B82 |
统计方法; 经济指标和经济度量 |
Statistical methods; economic indices and measures |
||
|
91B84 |
经济时间序列分析[参见62M10] |
Economic time series analysis [See also 62M10] |
||
|
91B99 |
其它 |
None of the above, but in this section |
||
|
91Cxx |
社会科学和行为科学: 一般课题(统计学, 见62-XX) |
Social and behavioral sciences: general topics (For statistics, see 62-XX) |
||
|
91C05 |
测量理论 |
Measurement theory |
||
|
91C15 |
一维和多维定标 |
One- and multidimensional scaling |
||
|
91C20 |
聚类[参见62H30] |
Clustering [See also 62H30] |
||
|
91C99 |
其它 |
None of the above, but in this section |
||
|
91Dxx |
数理社会学(包括人类学) |
Mathematical sociology (including anthropology) |
||
|
91D10 |
社会学, 社会和城市发展模型 |
Models of societies, social and urban evolution |
||
|
91D20 |
数学地理学和数学人口统计学 |
Mathematical geography and demography |
||
|
91D25 |
空间模型[参见91B72] |
Spatial models [See also 91B72] |
||
|
91D30 |
社会网络 |
Social networks |
||
|
91D35 |
人力系统[参见91B40, 90B70] |
Manpower systems [See also 91B40, 90B70] |
||
|
91D99 |
其它 |
None of the above, but in this section |
||
|
91Exx |
数理心理学 |
Mathematical psychology |
||
|
91E10 |
认识心理学 |
Cognitive psychology |
||
|
91E30 |
心理物理学和心理生理学; 感觉 |
Psychophysics and psychophysiology; perception |
||
|
91E40 |
记忆和学习[参见68T05] |
Memory and learning [See also 68T05] |
||
|
91E45 |
测量与性能 |
Measurement and performance |
||
|
91E99 |
其它 |
None of the above, but in this section |
||
|
91Fxx |
其它社会科学和行为科学(数学处理) |
Other social and behavioral sciences (mathematical treatment) |
||
|
91F10 |
历史学, 政治学 |
History, political science |
||
|
91F20 |
语言学[参见03B65, 68T50] |
Linguistics [See also 03B65, 68T50] |
||
|
91F99 |
其它 |
None of the above, but in this section |
||
|
91Gxx |
数理金融学 |
Mathematical finance |
||
|
91G10 |
投资组合理论 |
Portfolio theory |
||
|
91G20 |
衍生证券 |
Derivative securities |
||
|
91G30 |
银行利率(随机模型) |
Interest rates (stochastic models) |
||
|
91G40 |
信贷风险 |
Credit risk |
||
|
91G50 |
公司理财 |
Corporate finance |
||
|
91G60 |
数值方法(包括Monte Carlo方法) |
Numerical methods (including Monte Carlo methods) |
||
|
91G70 |
统计方法, 计量经济学 |
Statistical methods, econometrics |
||
|
91G80 |
其它理论的金融应用(随机控制, 变分法, 偏微分方程, 随机偏微分方程, 动力系统) |
Financial applications of other theories (stochastic control, calculus of variations, PDE, SPDE, dynamical systems) |
||
|
91G99 |
其它 |
None of the above, but in this section |
||
|
92-XX |
生物学和其它自然科学 |
Biology and other natural sciences |
||
|
92-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
92-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
92-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
92-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
92-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
92-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
92-08 |
计算方法 |
Computational methods |
||
|
92Bxx |
一般数学生物学 |
Mathematical biology in general |
||
|
92B05 |
一般生物学和生物数学 |
General biology and biomathematics |
||
|
92B10 |
分类学, 统计 |
Taxonomy, statistics |
||
|
92B15 |
一般生物统计学[参见62P10] |
General biostatistics [See also 62P10] |
||
|
92B20 |
神经网络, 人工生命和相关课题[参见68T05, 82C32, 94Cxx] |
Neural networks, artificial life and related topics [See also 68T05, 82C32, 94Cxx] |
||
|
92B25 |
生物节律与同步现象 |
Biological rhythms and synchronization |
||
|
92B99 |
其它 |
None of the above, but in this section |
||
|
92Cxx |
生理学, 细胞和医学课题 |
Physiological, cellular and medical topics |
||
|
92C05 |
生物物理学 |
Biophysics |
||
|
92C10 |
生物力学[参见74L15] |
Biomechanics [See also 74L15] |
||
|
92C15 |
发生生物学, 模式结构 |
Developmental biology, pattern formation |
||
|
92C17 |
细胞运动(趋药性等) |
Cell movement (chemotaxis, etc.) |
||
|
92C20 |
神经生物学 |
Neural biology |
||
|
92C30 |
生理学(一般问题) |
Physiology (general) |
||
|
92C35 |
生理学流[参见76Z05] |
Physiological flow [See also 76Z05] |
||
|
92C37 |
细胞生物学 |
Cell biology |
||
|
92C40 |
生物化学, 分子生物学 |
Biochemistry, molecular biology |
||
|
92C42 |
系统生物学, 网络 |
Systems biology, networks |
||
|
92C45 |
生物化学问题中的动力学(药物动力学、酶动力学等)[参见80A30] |
Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) [See also 80A30] |
||
|
92C50 |
药学应用(一般问题) |
Medical applications (general) |
||
|
92C55 |
生物医学图象和信号处理[参见44A12, 65R10] |
Biomedical imaging and signal processing [See also 44A12, 65R10] |
||
|
92C60 |
医学流行病学 |
Medical epidemiology |
||
|
92C80 |
作物生物学 |
Plant biology |
||
|
92C99 |
其它 |
None of the above, but in this section |
||
|
92Dxx |
遗传学和种群动力学 |
Genetics and population dynamics |
||
|
92D10 |
遗传学(遗传代数, 见17D92) |
Genetics (For genetic algebras, see 17D92) |
||
|
92D15 |
与进化有关的问题 |
Problems related to evolution |
||
|
92D20 |
蛋白质序列, DNA序列 |
Protein sequences, DNA sequences |
||
|
92D25 |
种群动力学(一般问题) |
Population dynamics (general) |
||
|
92D30 |
流行病学 |
Epidemiology |
||
|
92D40 |
生态学 |
Ecology |
||
|
92D50 |
动物行为 |
Animal behavior |
||
|
92D99 |
其它 |
None of the above, but in this section |
||
|
92Exx |
化学(生物化学, 见92C40) |
Chemistry (For biochemistry, see 92C40) |
||
|
92E10 |
分子结构(图论方法、微分拓扑方法等) |
Molecular structure (graph-theoretic methods, methods of differential topology, etc.) |
||
|
92E20 |
经典流、经典反应等[参见80A30, 80A32] |
Classical flows, reactions, etc. [See also 80A30, 80A32] |
||
|
92E99 |
其它 |
None of the above, but in this section |
||
|
92Fxx |
其它自然科学(还必须在92-XX中至少指定一个分类号) |
Other natural sciences (should also be assigned at least one other classification number in this section) |
||
|
92F05 |
其它自然科学(还必须在92-XX中至少指定一个分类号) |
Other natural sciences (should also be assigned at least one other classification number in section 92) |
||
|
92F99 |
其它 |
None of the above, but in this section |
||
|
93-XX |
系统论; 控制(最优控制, 见49-XX) |
Systems theory; control (For optimal control, see 49-XX) |
||
|
93-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
93-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
93-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
93-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
93-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
93-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
93Axx |
一般理论 |
General |
||
|
93A05 |
公理系统理论 |
Axiomatic system theory |
||
|
93A10 |
一般系统 |
General systems |
||
|
93A13 |
等级系统 |
Hierarchical systems |
||
|
93A14 |
分散系统 |
Decentralized systems |
||
|
93A15 |
大规模系统 |
Large scale systems |
||
|
93A30 |
数学模型建立(系统模型、模型匹配等) |
Mathematical modeling (models of systems, model-matching, etc.) |
||
|
93A99 |
其它 |
None of the above, but in this section |
||
|
93Bxx |
可控性, 可观测性和系统结构 |
Controllability, observability, and system structure |
||
|
93B03 |
可达集 |
Attainable sets |
||
|
93B05 |
可控性 |
Controllability |
||
|
93B07 |
可观测性 |
Observability |
||
|
93B10 |
标准结构 |
Canonical structure |
||
|
93B11 |
系统结构简化 |
System structure simplification |
||
|
93B12 |
变量结构系统 |
Variable structure systems |
||
|
93B15 |
输入-输出数据的实现 |
Realizations from input-output data |
||
|
93B17 |
变换 |
Transformations |
||
|
93B18 |
线性化 |
Linearizations |
||
|
93B20 |
极小系统表示 |
Minimal systems representations |
||
|
93B25 |
代数方法 |
Algebraic methods |
||
|
93B27 |
几何方法 |
Geometric methods |
||
|
93B28 |
算子理论方法[参见47A48, 47A57, 47B35, 47N70] |
Operator-theoretic methods [See also 47A48, 47A57, 47B35, 47N70] |
||
|
93B30 |
系统辨识 |
System identification |
||
|
93B35 |
灵敏度(鲁棒性) |
Sensitivity (robustness) |
||
|
93B36 |
H∞-控制 |
H∞-control |
||
|
93B40 |
计算方法 |
Computational methods |
||
|
93B50 |
综合问题 |
Synthesis problems |
||
|
93B51 |
设计技术(鲁棒设计、计算机辅助设计等) |
Design techniques (robust design, computer-aided design, etc.) |
||
|
93B52 |
反馈控制 |
Feedback control |
||
|
93B55 |
极点和零点配置问题 |
Pole and zero placement problems |
||
|
93B60 |
特征值问题 |
Eigenvalue problems |
||
|
93B99 |
其它 |
None of the above, but in this section |
||
|
93Cxx |
控制系统 |
Control systems |
||
|
93C05 |
线性系统 |
Linear systems |
||
|
93C10 |
非线性系统 |
Nonlinear systems |
||
|
93C15 |
常微分方程控制系统[参见34H05] |
Systems governed by ordinary differential equations [See also 34H05] |
||
|
93C20 |
偏微分方程控制系统 |
Systems governed by partial differential equations |
||
|
93C23 |
泛函-微分方程控制系统[参见34K35] |
Systems governed by functional-differential equations [See also 34K35] |
||
|
93C25 |
抽象空间中的系统 |
Systems in abstract spaces |
||
|
93C30 |
函数关系而不是微分方程的控制系统(像混合与开关系统) |
Systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
||
|
93C35 |
多变量系统 |
Multivariable systems |
||
|
93C40 |
自适应控制 |
Adaptive control |
||
|
93C41 |
不完全信息问题 |
Problems with incomplete information |
||
|
93C42 |
模糊控制系统 |
Fuzzy control systems |
||
|
93C55 |
离散时间系统 |
Discrete-time systems |
||
|
93C57 |
抽样数据系统 |
Sampled-data systems |
||
|
93C62 |
数字系统 |
Digital systems |
||
|
93C65 |
离散事件系统 |
Discrete event systems |
||
|
93C70 |
时标分析和奇异摄动 |
Time-scale analysis and singular perturbations |
||
|
93C73 |
摄动 |
Perturbations |
||
|
93C80 |
频率响应方法 |
Frequency-response methods |
||
|
93C83 |
包括计算机的控制问题(过程控制等) |
Control problems involving computers (process control, etc.) |
||
|
93C85 |
自动系统(机器人等)[参见68T40, 70B15, 70Q05] |
Automated systems (robots, etc.) [See also 68T40, 70B15, 70Q05] |
||
|
93C95 |
应用 |
Applications |
||
|
93C99 |
其它 |
None of the above, but in this section |
||
|
93Dxx |
稳定性 |
Stability |
||
|
93D05 |
Lyapunov和其它经典稳定性(Lagrange、Poisson、Lp、 lp等) |
Lyapunov and other classical stabilities (Lagrange, Poisson, Lp, lp, etc.) |
||
|
93D09 |
鲁棒稳定性 |
Robust stability |
||
|
93D10 |
反馈系统的Popov型稳定性 |
Popov-type stability of feedback systems |
||
|
93D15 |
反馈系统的稳定化 |
Stabilization of systems by feedback |
||
|
93D20 |
渐近稳定性 |
Asymptotic stability |
||
|
93D21 |
自适应或鲁棒稳定化 |
Adaptive or robust stabilization |
||
|
93D25 |
输入-输出方法 |
Input-output approaches |
||
|
93D30 |
标量和向量Lyapunov函数 |
Scalar and vector Lyapunov functions |
||
|
93D99 |
其它 |
None of the above, but in this section |
||
|
93Exx |
随机系统和控制 |
Stochastic systems and control |
||
|
93E03 |
随机系统, 一般问题 |
Stochastic systems, general |
||
|
93E10 |
估计和检测[参见60G35] |
Estimation and detection [See also 60G35] |
||
|
93E11 |
滤波[参见60G35] |
Filtering [See also 60G35] |
||
|
93E12 |
系统辨识 |
System identification |
||
|
93E14 |
数据修匀 |
Data smoothing |
||
|
93E15 |
随机稳定性 |
Stochastic stability |
||
|
93E20 |
最优随机控制 |
Optimal stochastic control |
||
|
93E24 |
最小二乘法和相关方法 |
Least squares and related methods |
||
|
93E25 |
其它计算方法 |
Other computational methods |
||
|
93E35 |
随机学习和自适应控制 |
Stochastic learning and adaptive control |
||
|
93E99 |
其它 |
None of the above, but in this section |
||
|
94-XX |
信息和通讯, 电路 |
Information and communication, circuits |
||
|
94-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
94-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
94-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
94-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
94-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
94-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
94Axx |
通讯, 信息 |
Communication, information |
||
|
94A05 |
通讯理论[参见60G35, 90B18] |
Communication theory [See also 60G35, 90B18] |
||
|
94A08 |
图象处理(压缩、重构等)[参见68U10] |
Image processing (compression, reconstruction, etc.) [See also 68U10] |
||
|
94A11 |
正交和其它特殊函数的应用 |
Application of orthogonal and other special functions |
||
|
94A12 |
信号理论(特征、重构、滤波等) |
Signal theory (characterization, reconstruction, filtering, etc.) |
||
|
94A13 |
检测理论 |
Detection theory |
||
|
94A14 |
调幅和解调 |
Modulation and demodulation |
||
|
94A15 |
信息理论, 一般问题[参见62B10, 81P94] |
Information theory, general [See also 62B10, 81P94] |
||
|
94A17 |
信息测度, 熵 |
Measures of information, entropy |
||
|
94A20 |
抽样理论 |
Sampling theory |
||
|
94A24 |
编码定理(香农理论) |
Coding theorems (Shannon theory) |
||
|
94A29 |
源编码[参见68P30] |
Source coding [See also 68P30] |
||
|
94A34 |
速率畸变理论 |
Rate-distortion theory |
||
|
94A40 |
信道模型(包括量子) |
Channel models (including quantum) |
||
|
94A45 |
前缀码, 长度可变码, 无逗号码[参见20M35, 68Q45] |
Prefix, length-variable, comma-free codes [See also 20M35, 68Q45] |
||
|
94A50 |
调查表理论 |
Theory of questionnaires |
||
|
94A55 |
移位寄存器序列和有限alphabets序列 |
Shift register sequences and sequences over finite alphabets |
||
|
94A60 |
密码术[参见11T71, 14G50, 68P25, 81P94] |
Cryptography [See also 11T71, 14G50, 68P25, 81P94] |
||
|
94A62 |
鉴别和秘密共享[参见81P94] |
Authentication and secret sharing [See also 81P94] |
||
|
94A99 |
其它 |
None of the above, but in this section |
||
|
94Bxx |
误差校正码和误差检测码理论 |
Theory of error-correcting codes and error-detecting codes |
||
|
94B05 |
线性码, 一般问题 |
Linear codes, general |
||
|
94B10 |
卷积码 |
Convolutional codes |
||
|
94B12 |
组合调幅方案(包括格子结构码) |
Combined modulation schemes (including trellis codes) |
||
|
94B15 |
循环码 |
Cyclic codes |
||
|
94B20 |
段校正码 |
Burst-correcting codes |
||
|
94B25 |
组合码 |
Combinatorial codes |
||
|
94B27 |
几何方法(包括代数几何的应用)[参见11T71, 14G50] |
Geometric methods (including applications of algebraic geometry) [See also 11T71, 14G50] |
||
|
94B30 |
主码 |
Majority codes |
||
|
94B35 |
译码 |
Decoding |
||
|
94B40 |
算术码[参见11T71, 14G50] |
Arithmetic codes [See also 11T71, 14G50] |
||
|
94B50 |
同步误差校正码 |
Synchronization error-correcting codes |
||
|
94B60 |
其它类型码 |
Other types of codes |
||
|
94B65 |
编码范围 |
Bounds on codes |
||
|
94B70 |
误差概率 |
Error probability |
||
|
94B75 |
凸集理论的应用和数的几何(覆盖半径等)[参见11H31] |
Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) [See also 11H31] |
||
|
94B99 |
其它 |
None of the above, but in this section |
||
|
94Cxx |
电路, 网络 |
Circuits, networks |
||
|
94C05 |
解析电路理论 |
Analytic circuit theory |
||
|
94C10 |
开关理论, Boole代数的应用; Boole函数[参见06E30] |
Switching theory, application of Boolean algebra; Boolean functions [See also 06E30] |
||
|
94C12 |
故障检测; 测试 |
Fault detection; testing |
||
|
94C15 |
图论的应用[参见05Cxx, 68R10] |
Applications of graph theory [See also 05Cxx, 68R10] |
||
|
94C30 |
设计理论的应用[参见05Bxx] |
Applications of design theory [See also 05Bxx] |
||
|
94C99 |
其它 |
None of the above, but in this section |
||
|
94Dxx |
模糊集和模糊逻辑(与94部分的问题有关)[参见03B52, 03E72, 28E10] |
Fuzzy sets and logic (in connection with questions of Section 94) [See also 03B52, 03E72, 28E10] |
||
|
94D05 |
模糊集和模糊逻辑(与94-XX的问题有关)[参见03B52, 03E72, 28E10] |
Fuzzy sets and logic (in connection with questions of Section 94) [See also 03B52, 03E72, 28E10] |
||
|
94D99 |
其它 |
None of the above, but in this section |
||
|
97-XX |
数学教育 |
Mathematics education |
||
|
97-00 |
一般参考书(手册、辞典、书目等) |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
||
|
97-01 |
教学阐述(教科书、教学论文等) |
Instructional exposition (textbooks, tutorial papers, etc.) |
||
|
97-02 |
研究阐述(专著, 评述论文) |
Research exposition (monographs, survey articles) |
||
|
97-03 |
历史(还必须在01-XX中至少指定一个分类号) |
Historical (must also be assigned at least one classification number from Section 01) |
||
|
97-04 |
明显的机器计算和程序(非计算或程序设计理论) |
Explicit machine computation and programs (not the theory of computation or programming) |
||
|
97-06 |
会议录、会议、文集等 |
Proceedings, conferences, collections, etc. |
||
|
97Axx |
一般理论, 数学与教育 |
General, mathematics and education |
||
|
97A10 |
综合作品, 参考书 |
Comprehensive works, reference books |
||
|
97A20 |
娱乐数学, 游戏[参见00A08] |
Recreational mathematics, games [See also 00A08] |
||
|
97A30 |
数学与数学教育的历史[参见01-XX] |
History of mathematics and mathematics education [See also 01-XX] |
||
|
97A40 |
数学与社会 |
Mathematics and society |
||
|
97A50 |
参考书目[参见01-00] |
Bibliographies [See also 01-00] |
||
|
97A70 |
论文与博士后论文 |
Theses and postdoctoral these |
||
|
97A80 |
数学的普及 |
Popularization of mathematics |
||
|
97A99 |
其它 |
None of the above, but in this section |
||
|
97Bxx |
教育政策和教育系统 |
Educational policy and educational systems |
||
|
97B10 |
教育研究和教育计划 |
Educational research and planning |
||
|
97B20 |
普通教育 |
General education |
||
|
97B30 |
职业教育 |
Vocational education |
||
|
97B40 |
高等教育 |
Higher education |
||
|
97B50 |
教师进修(研究方面, 见97C70) |
Teacher education (For research aspects, see 97C70) |
||
|
97B60 |
成人和继续教育 |
Adult and further education |
||
|
97B70 |
教学大纲, 教育标准 |
Syllabuses, educational standards |
||
|
97B99 |
其它 |
None of the above, but in this section |
||
|
97Cxx |
数学教育心理学和数学教育研究 |
Psychology of and research in mathematics education |
||
|
97C10 |
综合作品 |
Comprehensive works |
||
|
97C20 |
情感行为 |
Affective behavior |
||
|
97C30 |
认知过程, 学习理论 |
Cognitive processes, learning theories |
||
|
97C40 |
智力和才能 |
Intelligence and aptitudes |
||
|
97C50 |
语言和口头交流 |
Language and verbal communication |
||
|
97C60 |
学习的社会学方面 |
Sociological aspects of learning |
||
|
97C70 |
教学过程 |
Teaching-learning processes |
||
|
97C99 |
其它 |
None of the above, but in this section |
||
|
97Dxx |
数学教育和说明 |
Education and instruction in mathematics |
||
|
97D10 |
综合作品, 比较研究 |
Comprehensive works, comparative studies |
||
|
97D20 |
哲学和理论贡献(数学教学法) |
Philosophical and theoretical contributions (maths didactics) |
||
|
97D30 |
目标和目的 |
Objectives and goals |
||
|
97D40 |
教学法和课堂技巧 |
Teaching methods and classroom techniques |
||
|
97D50 |
教学问题的解决和启发式策略(研究方面, 见97Cxx) |
Teaching problem solving and heuristic strategies (For research aspects, see 97Cxx) |
||
|
97D60 |
学生评估, 成绩控制和评定 |
Student assessment, achievement control and rating |
||
|
97D70 |
学习难点和学生错误 |
Learning difficulties and student errors |
||
|
97D80 |
教育机构和草拟课程 |
Teaching units and draft lessons |
||
|
97D99 |
其它 |
None of the above, but in this section |
||
|
97Exx |
数学基础 |
Foundations of mathematics |
||
|
97E10 |
综合作品 |
Comprehensive works |
||
|
97E20 |
哲学和数学 |
Philosophy and mathematics |
||
|
97E30 |
逻辑 |
Logic |
||
|
97E40 |
数学语言 |
Language of mathematics |
||
|
97E50 |
数学课堂上的推理与证明 |
Reasoning and proving in the mathematics classroom |
||
|
97E60 |
集合, 关系, 集合论 |
Sets, relations, set theory |
||
|
97E99 |
其它 |
None of the above, but in this section |
||
|
97Fxx |
算术, 数论 |
Arithmetic, number theory |
||
|
97F10 |
综合作品 |
Comprehensive works |
||
|
97F20 |
准数阶段, 数的概念 |
Pre-numerical stage, concept of numbers |
||
|
97F30 |
自然数 |
Natural numbers |
||
|
97F40 |
整数, 有理数 |
Integers, rational numbers |
||
|
97F50 |
实数, 复数 |
Real numbers, complex numbers |
||
|
97F60 |
数论 |
Number theory |
||
|
97F70 |
测度与单位 |
Measures and units |
||
|
97F80 |
比率和比例, 百分数 |
Ratio and proportion, percentages |
||
|
97F90 |
现实生活中的数学, 实用算术 |
Real life mathematics, practical arithmetic |
||
|
97F99 |
其它 |
None of the above, but in this section |
||
|
97Gxx |
几何 |
Geometry |
||
|
97G10 |
综合作品 |
Comprehensive works |
||
|
97G20 |
非形式几何 |
Informal geometry |
||
|
97G30 |
面积和体积 |
Areas and volumes |
||
|
97G40 |
平面和立体几何 |
Plane and solid geometry |
||
|
97G50 |
变换几何 |
Transformation geometry |
||
|
97G60 |
平面和球面三角学 |
Plane and spherical trigonometry |
||
|
97G70 |
解析几何, 向量代数 |
Analytic geometry. Vector algebra |
||
|
97G80 |
画法几何 |
Descriptive geometry |
||
|
97G99 |
其它 |
None of the above, but in this section |
||
|
97Hxx |
代数 |
Algebra |
||
|
97H10 |
综合作品 |
Comprehensive works |
||
|
97H20 |
初级代数 |
Elementary algebra |
||
|
97H30 |
方程和不等式 |
Equations and inequalities |
||
|
97H40 |
群, 环, 域 |
Groups, rings, fields |
||
|
97H50 |
有序代数结构 |
Ordered algebraic structures |
||
|
97H60 |
线性代数 |
Linear algebra |
||
|
97H99 |
其它 |
None of the above, but in this section |
||
|
97Ixx |
分析 |
Analysis |
||
|
97I10 |
综合作品 |
Comprehensive works |
||
|
97I20 |
映射和函数 |
Mappings and functions |
||
|
97I30 |
序列和级数 |
Sequences and series |
||
|
97I40 |
微分学 |
Differential calculus |
||
|
97I50 |
积分学 |
Integral calculus |
||
|
97I60 |
多变量函数 |
Functions of several variables |
||
|
97I70 |
泛函方程 |
Functional equations |
||
|
97I80 |
复分析 |
Complex analysis |
||
|
97I99 |
其它 |
None of the above, but in this section |
||
|
97Kxx |
组合学, 图论, 概率论, 统计学 |
Combinatorics, graph theory, probability theory, statistics |
||
|
97K10 |
综合作品 |
Comprehensive works |
||
|
97K20 |
组合学 |
Combinatorics |
||
|
97K30 |
图论 |
Graph theory |
||
|
97K40 |
描述统计学 |
Descriptive statistics |
||
|
97K50 |
概率论 |
Probability theory |
||
|
97K60 |
分布与随机过程 |
Distributions and stochastic processes |
||
|
97K70 |
统计学的基础和方法论 |
Foundations and methodology of statistics |
||
|
97K80 |
应用统计学 |
Applied statistics |
||
|
97K99 |
其它 |
None of the above, but in this section |
||
|
97Mxx |
数学建模, 数学的应用 |
Mathematical modeling, applications of mathematics |
||
|
97M10 |
建模与交叉学科 |
Modeling and interdisciplinarity |
||
|
97M20 |
职业训练和职业教育中的数学 |
Mathematics in vocational training and career education |
||
|
97M30 |
金融和保险数学 |
Financial and insurance mathematics |
||
|
97M40 |
运筹学, 经济学 |
Operations research, economics |
||
|
97M50 |
物理学, 天文学, 技术, 工程 |
Physics, astronomy, technology, engineering |
||
|
97M60 |
生物学, 化学, 医学 |
Biology, chemistry, medicine |
||
|
97M70 |
行为和社会科学 |
Behavioral and social sciences |
||
|
97M80 |
艺术, 音乐, 语言, 建筑学 |
Arts, music, language, architecture |
||
|
97M99 |
其它 |
None of the above, but in this section |
||
|
97Nxx |
数值数学 |
Numerical mathematics |
||
|
97N10 |
综合作品 |
Comprehensive works |
||
|
97N20 |
误差的舍入, 估计, 理论 |
Rounding, estimation, theory of errors |
||
|
97N30 |
数值代数 |
Numerical algebra |
||
|
97N40 |
数值分析 |
Numerical analysis |
||
|
97N50 |
插值与逼近 |
Interpolation and approximation |
||
|
97N60 |
数学规划 |
Mathematical programming |
||
|
97N70 |
离散数学 |
Discrete mathematics |
||
|
97N80 |
数学软件, 计算机程序 |
Mathematical software, computer programs |
||
|
97N99 |
其它 |
None of the above, but in this section |
||
|
97Pxx |
计算机科学 |
Computer science |
||
|
97P10 |
综合作品 |
Comprehensive works |
||
|
97P20 |
计算机科学理论 |
Theory of computer science |
||
|
97P30 |
系统软件 |
System software |
||
|
97P40 |
程序设计语言 |
Programming languages |
||
|
97P50 |
程序设计技术 |
Programming techniques |
||
|
97P60 |
硬件 |
Hardware |
||
|
97P70 |
计算机科学与社会 |
Computer science and society |
||
|
97P99 |
其它 |
None of the above, but in this section |
||
|
97Qxx |
计算机科学教育 |
Computer science education |
||
|
97Q10 |
综合作品 |
Comprehensive works |
||
|
97Q20 |
计算机科学教学中的情感因素 |
Affective aspects in teaching computer science |
||
|
97Q30 |
认知过程 |
Cognitive processes |
||
|
97Q40 |
社会学方面 |
Sociological aspects |
||
|
97Q50 |
目标 |
Objectives |
||
|
97Q60 |
教学方法和课堂教学技巧 |
Teaching methods and classroom techniques |
||
|
97Q70 |
学生评价 |
Student assessment |
||
|
97Q80 |
教学单位 |
Teaching units |
||
|
97Q99 |
其它 |
None of the above, but in this section |
||
|
97Rxx |
计算机科学应用 |
Computer science applications |
||
|
97R10 |
综合作品, 程序集 |
Comprehensive works, collections of programs |
||
|
97R20 |
在数学中的应用 |
Applications in mathematics |
||
|
97R30 |
在科学中的应用 |
Applications in sciences |
||
|
97R40 |
人工智能 |
Artificial intelligence |
||
|
97R50 |
数据库, 信息系统 |
Data bases, information systems |
||
|
97R60 |
计算机图形学 |
Computer graphics |
||
|
97R70 |
用户程序, 管理应用 |
User programs, administrative applications |
||
|
97R80 |
娱乐计算 |
Recreational computing |
||
|
97R99 |
其它 |
None of the above, but in this section |
||
|
97Uxx |
教材和(多)媒体, 教育技术 |
Educational material and media, educational technology |
||
|
97U10 |
综合作品 |
Comprehensive works |
||
|
97U20 |
教科书.教科书研究 |
Textbooks. Textbook research |
||
|
97U30 |
教师手册和计划辅助设备 |
Teachers’ manuals and planning aids |
||
|
97U40 |
问题集.竞赛.考试 |
Problem books. Competitions. Examination |
||
|
97U50 |
计算机辅助教学; e-学习 |
Computer assisted instruction; e-learning |
||
|
97U60 |
操作材料 |
Manipulative materials |
||
|
97U70 |
技术工具, 计算器 |
Technological tools, calculators |
||
|
97U80 |
视听媒体 |
Audiovisual media |
||
|
97U99 |
其它 |
None of the above, but in this section |
||